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712.4379 | Elif Yilmaz | Elif Yilmaz | A Note on Overtwisted Contact Structures | 4 pages, 1 figure | null | null | null | math.GT | null | In this note, we use the recent work of Honda-Kazez-Matic [HKM] to prove that
a closed contact 3-manifold admitting a compatible open book decomposition with
a nontrivial monodromy which can be presented as a product of left handed Dehn
twists is overtwisted.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:46:59 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Yilmaz",
"Elif",
""
]
] | [
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712.438 | Molaro Paolo | Paolo Molaro, Dieter Reimers, Irina I. Agafonova, Sergei A. Levshakov | Bounds on the fine structure constant variability from FeII absorption
lines in QSO spectra | Talk given at ACFC 2007 "Atomic Clocks and Fundamental Constants"
conference, Bad Honnef, June 2007, Savely Karshenboim and Ekkehard Peik
editors | Eur.Phys.J.ST 163:173-189,2008 | 10.1140/epjst/e2008-00818-4 | null | astro-ph | null | The Single Ion Differential alpha Measurement (SIDAM) method for measuring
fine stucture variations (daa)and its figures of merit are illustrated together
with the results produced by means of FeII absorption lines of QSO intervening
systems. The method provides daa ~= -0.12(+/- 1.79) ppm (parts-per-million) at
zabs = 1.15 towards HE 0515--4414 and daa = 5.66(+/-2.67) ppm at zabs= 1.84
towards Q 1101--264, which are so far the most accurate measurements for single
systems. SIDAM analysis for 3 systems from the Chand et al. (2004) sample
provides inconsistent results which we interpret as due to calibration errors
of the Chand et al. data at the level of about 10 ppm. In one system evidence
for photo-ionization Doppler shift between MgII and FeII lines is found. This
evidence has important bearings on the Many Multiplet method where the signal
for daa variability is carried mainly by systems involving MgII absorbers. Some
correlations are also found in the Murphy et al. sample which suggest larger
errors than previously reported. Thus, we consider unlikely that both the Chand
et al. and Murphy et al. datasets could provide an estimate of daa with an
accuracy at the level of 1 ppm. A new spectrograph like the ESPRESSO project
will be crucial to make progress in the astronomical determination of daa.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 17:42:42 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Molaro",
"Paolo",
""
],
[
"Reimers",
"Dieter",
""
],
[
"Agafonova",
"Irina I.",
""
],
[
"Levshakov",
"Sergei A.",
""
]
] | [
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712.4381 | William Bialek | William Bialek, Rob R. de Ruyter van Steveninck and Naftali Tishby | Efficient representation as a design principle for neural coding and
computation | Based on a presentation at the International Symposium on Information
Theory 2006 | null | null | null | q-bio.NC | null | Does the brain construct an efficient representation of the sensory world? We
review progress on this question, focusing on a series of experiments in the
last decade which use fly vision as a model system in which theory and
experiment can confront each other. Although the idea of efficient
representation has been productive, clearly it is incomplete since it doesn't
tell us which bits of sensory information are most valuable to the organism. We
suggest that an organism which maximizes the (biologically meaningful) adaptive
value of its actions given fixed resources should have internal representations
of the outside world that are optimal in a very specific information theoretic
sense: they maximize the information about the future of sensory inputs at a
fixed value of the information about their past. This principle contains as
special cases computations which the brain seems to carry out, and it should be
possible to test this optimization directly. We return to the fly visual system
and report the results of preliminary experiments that are in encouraging
agreement with theory.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 17:46:41 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Bialek",
"William",
""
],
[
"van Steveninck",
"Rob R. de Ruyter",
""
],
[
"Tishby",
"Naftali",
""
]
] | [
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] |
712.4382 | William Bialek | Samuel F. Taylor, Naftali Tishby and William Bialek | Information and fitness | null | null | null | null | q-bio.PE | null | The growth rate of organisms depends both on external conditions and on
internal states, such as the expression levels of various genes. We show that
to achieve a criterion mean growth rate over an ensemble of conditions, the
internal variables must carry a minimum number of bits of information about
those conditions. Evolutionary competition thus can select for cellular
mechanisms that are more efficient in an abstract, information theoretic sense.
Estimates based on recent experiments suggest that the minimum information
required for reasonable growth rates is close to the maximum information that
can be conveyed through biologically realistic regulatory mechanisms. These
ideas are applicable most directly to unicellular organisms, but there are
analogies to problems in higher organisms, and we suggest new experiments for
both cases.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:08:37 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Taylor",
"Samuel F.",
""
],
[
"Tishby",
"Naftali",
""
],
[
"Bialek",
"William",
""
]
] | [
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] |
712.4383 | A. J. Buchmann | A.J. Buchmann | Structure of strange baryons | 6 pages, 1 figure, Talk given at IX Int. Conf. on Hypernuclear and
Strange Particle Physics, Hyp 2006, Oct. 10-14, 2006, Mainz, Germany | Proceedings of IX Int. Conf. on Hypernuclear and Strange Particle
Physics, Oct. 10-14, 2006, Mainz, Germany, eds. J. Pochodzalla and Th.
Walcher, Springer-Verlag, 2007, pg. 329 | null | null | hep-ph nucl-th | null | The charge radii and quadrupole moments of baryons with nonzero strangeness
are calculated using a parametrization method based on the symmetries of the
strong interaction.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:11:16 GMT"
}
] | 2008-01-02T00:00:00 | [
[
"Buchmann",
"A. J.",
""
]
] | [
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712.4384 | Vadim Naumov | Konstantin S. Kuzmin (Dubna, JINR), Vladimir V. Lyubushkin (Dubna,
JINR & Irkutsk State U.), Vadim A. Naumov (Dubna, JINR) | Quasielastic axial-vector mass from experiments on neutrino-nucleus
scattering | 27 pages, 19 figures. Typos corrected; tables, figures and references
added, discussion extended; matches published version | Eur.Phys.J.C54:517-538,2008 | 10.1140/epjc/s10052-008-0582-x | null | hep-ph hep-ex nucl-ex nucl-th | null | We analyze available experimental data on the total and differential
charged-current cross sections for quasielastic neutrino and antineutrino
scattering off nucleons, measured with a variety of nuclear targets in the
accelerator experiments at ANL, BNL, FNAL, CERN, and IHEP, dating from the end
of sixties to the present day. The data are used to adjust the poorly known
value of the axial-vector mass of the nucleon.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:22:53 GMT"
},
{
"version": "v2",
"created": "Sun, 30 Dec 2007 12:53:29 GMT"
},
{
"version": "v3",
"created": "Mon, 28 Apr 2008 17:19:50 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kuzmin",
"Konstantin S.",
"",
"Dubna, JINR"
],
[
"Lyubushkin",
"Vladimir V.",
"",
"Dubna,\n JINR & Irkutsk State U."
],
[
"Naumov",
"Vadim A.",
"",
"Dubna, JINR"
]
] | [
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712.4385 | William Bialek | Gasper Tkacik and William Bialek | Cell biology: Networks, regulation, pathways | null | null | null | null | q-bio.MN | null | This review was written for the Encyclopedia of Complexity and System Science
(Springer-Verlag, Berlin, 2008), and is intended as a guide to the growing
literature which approaches the phenomena of cell biology from a more
theoretical point of view. We begin with the building blocks of cellular
networks, and proceed toward the different classes of models being explored,
finally discussing the "design principles" which have been suggested for these
systems. Although largely a dispassionate review, we do draw attention to areas
where there seems to be general consensus on ideas that have not been tested
very thoroughly and, more optimistically, to areas where we feel promising
ideas deserve to be more fully explored.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:45:14 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Tkacik",
"Gasper",
""
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712.4386 | Amol Dighe | Amol Dighe | Neutrinos from a core collapse supernova | 5 pages, aipproc format, Plenary talk at NuFact07 | AIPConf.Proc.981:75-79,2008 | 10.1063/1.2899006 | TIFR/TH/07-40 | hep-ph | null | The neutrino burst from a galactic supernova can help determine the neutrino
mass hierarchy and $\theta_{13}$, and provide crucial information about
supernova astrophysics. Here we review our current understanding of the
neutrino burst, flavor conversions of these neutrinos, and model independent
signatures of various neutrino mixing scenarios.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:18:58 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Dighe",
"Amol",
""
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712.4387 | Yi Ni | Yi Ni | Dehn surgeries that yield fibred $3$--manifolds | 15 pages | null | null | AIM 2007-102 | math.GT | null | We study Dehn surgeries on null-homotopic knots that yield fibred
$3$--manifolds when an additional (but natural) homological restriction is
imposed. The major tool used is Gabai's theory of sutured manifold
decomposition. Such surgeries are negative examples to a question of Michel
Boileau. Another result we will prove is about surgeries which reduce the
Thurston norm of a fibred manifold.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:27:24 GMT"
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] | 2007-12-31T00:00:00 | [
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] |
712.4388 | Dan Edidin | Dan Edidin and Damiano Fulghesu | The integral Chow ring of the stack of hyperelliptic curves of even
genus | 12 pages, Latex2e | Math Research Letters, v.16 (2009) no. 1., 27-40 | null | null | math.AG | null | Let $g$ be an even positive integer. In this paper we compute the integral
Chow ring of the stack of smooth hyperelliptic curves of genus $g$.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:33:47 GMT"
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] | 2009-04-29T00:00:00 | [
[
"Edidin",
"Dan",
""
],
[
"Fulghesu",
"Damiano",
""
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712.4389 | Caroline Milstene | C. Milstene, A. Freitas, M. Schmitt, A. Sopczak | Precision Measurement of a Particle Mass at the Linear Collider | 6 pages, 4 figures, 3tables,
Conference(Workshop)-LCWS/ILC2007-June,2,2007 | ECONF C0705302:SUS16,2007 | 10.2172/919937 | FERMILAB-CONF-07-184-E | hep-ph | null | Precision measurement of the stop mass at the ILC is done in a method based
on cross-sections measurements at two different center-of-mass energies. This
allows to minimize both the statistical and systematic errors. In the framework
of the MSSM, a light stop, compatible with electro-weak baryogenesis, is
studied in its decay into a charm jet and neutralino, the Lightest
Supersymmetric Particle(LSP), as a candidate of dark matter. This takes place
for a small stop-neutralino mass difference.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:33:51 GMT"
}
] | 2011-03-18T00:00:00 | [
[
"Milstene",
"C.",
""
],
[
"Freitas",
"A.",
""
],
[
"Schmitt",
"M.",
""
],
[
"Sopczak",
"A.",
""
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712.439 | Molaro Paolo | Paolo Molaro | Science with a 16m VLT: the case for variability of fundamental constan
ts | Talk given at the ESO Workshop: Science with the ELT in the ELT Era.
Alan Moorwood editor | null | null | null | astro-ph | null | Only astronomical observations can effectively probe in space-time the
variabil ity of the physical dimensionless constants such as the fine structure
constant and proton-to-electron mass ratio, \mu, which are related to fund
amental forces of nature. Several theories beyond the Standard Model (SM) allow
fundamental constants to vary, but they cannot make quantitative predictions so
that only laboratory experiments and astronomical observations can show if th
is is the case or set the allowed bounds. At the moment of writing there are c
laims for a variability of both \alpha and \mu at 5 and 4\sigma of C.L.,
respectively, although for \alpha they are contrasted by null results. The
observations are challenging and a new spectrograph such as ESPRESSO at the
combined incoherent focus of 4 VLT units (a potential 16 m equivalent
telescope) will allow for a significant improvement in the precision
measurement clearing up the controversy. If the variations will be confirmed,
the implications are far reaching, revealing new physics beyond the SM and
pointing a direction for GUTs theories. A most exciting ossibility is that a
variation of \alpha is induced by quintessence through its coupling with the
electromagnetic field. If this is the case an accurate measurement of the
variability could provide a way for reconstructing the equation of state of
Dark Energy (Avelino et al 2006).
| [
{
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] |
712.4391 | Merce Romero-Gomez | M. Romero-Gomez, E. Athanassoula, J.J. Masdemont, C. Garcia-Gomez | The formation of spiral arms and rings in barred galaxies | 9 pages, 4 figures, conference proceedings of "Chaos, complexity and
transport: Theory and Applications", Marseille, June 2007 | null | null | LAM-07-06 | astro-ph | null | We propose a new theory to explain the formation of spiral arms and of all
types of outer rings in barred galaxies. We have extended and applied the
technique used in celestial mechanics to compute transfer orbits. Thus, our
theory is based on the chaotic orbital motion driven by the invariant manifolds
associated to the periodic orbits around the hyperbolic equilibrium points. In
particular, spiral arms and outer rings are related to the presence of
heteroclinic or homoclinic orbits. Thus, R1 rings are associated to the
presence of heteroclinic orbits, while R1R2 rings are associated to the
presence of homoclinic orbits. Spiral arms and R2 rings, however, appear when
there exist neither heteroclinic nor homoclinic orbits. We examine the
parameter space of three realistic, yet simple, barred galaxy models and
discuss the formation of the different morphologies according to the properties
of the galaxy model. The different morphologies arise from differences in the
dynamical parameters of the galaxy.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:58:38 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Romero-Gomez",
"M.",
""
],
[
"Athanassoula",
"E.",
""
],
[
"Masdemont",
"J. J.",
""
],
[
"Garcia-Gomez",
"C.",
""
]
] | [
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] |
712.4392 | Manuel Asorey | M. Asorey and J. M. Munoz-Castaneda | Vacuum Structure and Boundary Renormalization Group | 8 pages | J.Phys.A41:164043,2008 | 10.1088/1751-8113/41/16/164043 | null | hep-th | null | The vacuum structure is probed by boundary conditions. The behaviour of
thermodynamical quantities like free energy, boundary entropy and entanglement
entropy under the boundary renormalization group flow are analysed in 2D
conformal field theories. The results show that whereas vacuum energy and
boundary entropy turn out to be very sensitive to boundary conditions, the
vacuum entanglement entropy is independent of boundary properties when the
boundary of the entanglement domain does not overlap the boundary of the
physical space. In all cases the second law of thermodynamics holds along the
boundary renormalization group flow.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 19:02:51 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Asorey",
"M.",
""
],
[
"Munoz-Castaneda",
"J. M.",
""
]
] | [
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] |
712.4393 | Alan Kostelecky | Alan Kostelecky, Neil Russell, and Jay Tasson | Constraints on Torsion from Lorentz Violation | 4 pages two-column REVTeX, accepted in Physical Review Letters | Phys.Rev.Lett.100:111102,2008 | 10.1103/PhysRevLett.100.111102 | IUHET 510, December 2007 | gr-qc astro-ph hep-ph | null | Exceptional sensitivity to spacetime torsion can be achieved by searching for
its couplings to fermions. Recent experimental searches for Lorentz violation
are exploited to extract new constraints involving 19 of the 24 independent
torsion components down to levels of order 10^{-31} GeV.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 19:06:18 GMT"
},
{
"version": "v2",
"created": "Tue, 5 Feb 2008 19:10:38 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Kostelecky",
"Alan",
""
],
[
"Russell",
"Neil",
""
],
[
"Tasson",
"Jay",
""
]
] | [
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] |
712.4394 | Jean-Paul Blaizot | A. Beraudo, J.-P. Blaizot and C. Ratti | Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium | 32 pages, 8 figures | Nucl.Phys.A806:312-338,2008 | 10.1016/j.nuclphysa.2008.03.001 | null | nucl-th | null | We investigate the behavior of a pair of heavy fermions, denoted by $Q$ and
$\bar{Q}$, in a hot/dense medium. Although we have in mind the situation where
$Q$ and $\bar{Q}$ denote heavy quarks, our treatment will be limited to
simplified models, which bear only some general similarities with QCD. We study
in particular the limiting case where the mass of the heavy fermions is
infinite. Then a number of results can be derived exactly: a Schr\"odinger
equation can be established for the correlator of the heavy quarks; the
interaction effects exponentiate, leading to a simple instantaneous effective
potential for this Schr\"odinger equation. We consider simple models for the
medium in which the $Q\bar Q$ pair propagates. In the case where the medium is
a plasma of photons and light charged fermions, an imaginary part develops in
this effective potential. We discuss the physical interpretation of this
imaginary part in terms of the collisions between the heavy particles and the
light fermions of the medium; the same collisions also determine the damping
rate of the heavy fermions. Finally we study the connection between the
real-time propagator of the heavy fermion pair and its Euclidean counterpart,
and show that the real part of the potential entering the Schr\"odinger
equation for the real-time propagator is the free energy calculated in the
imaginary-time formalism.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 18:58:32 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Beraudo",
"A.",
""
],
[
"Blaizot",
"J. -P.",
""
],
[
"Ratti",
"C.",
""
]
] | [
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] |
712.4395 | Zhiwei Yun | Zhiwei Yun | Goresky-MacPherson calculus for the affine flag varieties | null | Canad. J. Math. 62 (2010), no. 2, 473-480 | null | null | math.AG math.AT | null | We use the fixed point arrangement technique developed by Goresky-MacPherson
to calculate the part of the equivariant cohomology of the affine flag
varieties generated by degree 2. This turns out to be a quadric cone. We also
describe the spectrum of the full equivariant cohomology ring as an explicit
geometric object. We use our results to show that the vertices of the moment
map images of the affine flag varieties lie on a paraboloid.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 19:48:27 GMT"
}
] | 2011-01-07T00:00:00 | [
[
"Yun",
"Zhiwei",
""
]
] | [
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] |
712.4396 | Lotfi Hermi | Mark S. Ashbaugh, Lotfi Hermi | On Harrell-Stubbe Type Inequalities for the Discrete Spectrum of a
Self-Adjoint Operator | 42 pages | null | null | null | math.SP math.DG | null | We produce a new proof and extend results by Harrell and Stubbe for the
discrete spectrum of a self-adjoint operator. An abstract approach--based on
commutator algebra, the Rayleigh-Ritz principle, and an ``optimal'' usage of
the Cauchy-Schwarz inequality--is used to produce ``parameter-free'',
``projection-free'' versions of their theorems. We also analyze the strength of
the various inequalities that ensue. The results contain classical bounds for
the eigenvalues. Extensions of a variety of inequalities \`a la Harrell-Stubbe
are illustrated for both geometric and physical problems.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 19:51:02 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Ashbaugh",
"Mark S.",
""
],
[
"Hermi",
"Lotfi",
""
]
] | [
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] |
712.4397 | William Bialek | William Bialek and Rama Ranganathan | Rediscovering the power of pairwise interactions | null | null | null | null | q-bio.QM | null | Two recent streams of work suggest that pairwise interactions may be
sufficient to capture the complexity of biological systems ranging from protein
structure to networks of neurons. In one approach, possible amino acid
sequences in a family of proteins are generated by Monte Carlo annealing of a
"Hamiltonian" that forces pairwise correlations among amino acid substitutions
to be close to the observed correlations. In the other approach, the observed
correlations among pairs of neurons are used to construct a maximum entropy
model for the states of the network as a whole. We show that, in certain
limits, these two approaches are mathematically equivalent, and we comment on
open problems suggested by this framework
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 19:53:09 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Bialek",
"William",
""
],
[
"Ranganathan",
"Rama",
""
]
] | [
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] |
712.4398 | Yonatan Dubi | Y. Dubi, Y. Meir, Y. Avishai | Island formation in disordered superconducting thin films at finite
magnetic fields | 7 pages, 7 figures. Some typos corrected, introduction and summary
revised, some annotation changed | Phys. Rev. B 78, 024502 (2008). | 10.1103/PhysRevB.78.024502 | null | cond-mat.supr-con cond-mat.dis-nn | null | The existence of "superconducting islands" (i.e., locally confined regions
with superconducting correlations) in amorphous superconducting thin films can
account for numerous experimental findings. Such spatial fluctuations in the
superconducting gap were indeed observed experimentally, and were shown to
persist into the insulating side of the superconductor-insulator transition. In
this work a detailed account on the formation and evolution of superconducting
islands in disordered two-dimensional superconductors is presented, using a
locally self-consistent numerical solution of the Bogoliubov-de-Gennes
equations. Specifically, the formation of SC islands is demonstrated, and their
evolution with an applied perpendicular magnetic field is studied in details,
along with the disorder-induced vortex-pinning. Simulating the presence of a
parallel Zeeman field it is demonstrated that the islands are indeed
uncorrelated superconducting domains. Experimental predictions based on this
analysis are presented.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 19:59:51 GMT"
},
{
"version": "v2",
"created": "Wed, 16 Apr 2008 18:19:39 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Dubi",
"Y.",
""
],
[
"Meir",
"Y.",
""
],
[
"Avishai",
"Y.",
""
]
] | [
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] |
712.4399 | Peter Hegarty | Peter Hegarty | The inverse problem for representation functions for general linear
forms | 15 pages, no figures | null | null | null | math.NT math.CO | null | The inverse problem for representation functions takes as input a triple
(X,f,L), where X is a countable semigroup, f : X --> N_0 \cup {\infty} a
function, L : a_1 x_1 + ... + a_h x_h an X-linear form and asks for a subset A
\subseteq X such that there are f(x) solutions (counted appropriately) to
L(x_1,...,x_h) = x for every x \in X, or a proof that no such subset exists.
This paper represents the first systematic study of this problem for
arbitrary linear forms when X = Z, the setting which in many respects is the
most natural one. Having first settled on the "right" way to count
representations, we prove that every primitive form has a unique representation
basis, i.e.: a set A which represents the function f \equiv 1. We also prove
that a partition regular form (i.e.: one for which no non-empty subset of the
coefficients sums to zero) represents any function f for which {f^{-1}(0)} has
zero asymptotic density. These two results answer questions recently posed by
Nathanson.
The inverse problem for partition irregular forms seems to be more
complicated. The simplest example of such a form is x_1 - x_2, and for this
form we provide some partial results. Several remaining open problems are
discussed.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:09:42 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Hegarty",
"Peter",
""
]
] | [
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] |
712.44 | Melvin Leok | Anthony M. Bloch, Islam I. Hussein, Melvin Leok, Amit K. Sanyal | Geometric structure-preserving optimal control of the rigid body | 22 pages, 3 figures | null | null | null | math.OC | null | In this paper we study a discrete variational optimal control problem for the
rigid body. The cost to be minimized is the external torque applied to move the
rigid body from an initial condition to a pre-specified terminal condition.
Instead of discretizing the equations of motion, we use the discrete equations
obtained from the discrete Lagrange--d'Alembert principle, a process that
better approximates the equations of motion. Within the discrete-time setting,
these two approaches are not equivalent in general. The kinematics are
discretized using a natural Lie-algebraic formulation that guarantees that the
flow remains on the Lie group SO(3) and its algebra so(3). We use Lagrange's
method for constrained problems in the calculus of variations to derive the
discrete-time necessary conditions. We give a numerical example for a
three-dimensional rigid body maneuver.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:26:26 GMT"
}
] | 2007-12-31T00:00:00 | [
[
"Bloch",
"Anthony M.",
""
],
[
"Hussein",
"Islam I.",
""
],
[
"Leok",
"Melvin",
""
],
[
"Sanyal",
"Amit K.",
""
]
] | [
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] |
712.4401 | Artan Borici | Artan Borici | Creutz Fermions on an Orthogonal Lattice | 9 pages, version to be published in PRD | Phys.Rev.D78:074504,2008 | 10.1103/PhysRevD.78.074504 | null | hep-lat | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | In a recent paper, Creutz has given a new action describing two species of
Dirac fermions with exact chiral symmetry on the lattice. This action depends
on a parameter which may be fixed at a certain value in order to get the right
continuum limit. In this letter, we elaborate more on this idea and present an
action which is free of any other parameter except the fermion mass.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:31:01 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Sep 2008 17:26:07 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Borici",
"Artan",
""
]
] | [
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] |
712.4402 | Ruadhan O'Flanagan | Ruadhan O'Flanagan | Judgment | 20 pages; minor changes; references added; submitted | null | null | null | math.PR cs.AI math.LO | null | The concept of a judgment as a logical action which introduces new
information into a deductive system is examined. This leads to a way of
mathematically representing implication which is distinct from the familiar
material implication, according to which "If A then B" is considered to be
equivalent to "B or not-A". This leads, in turn, to a resolution of the paradox
of the raven.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 21:00:01 GMT"
},
{
"version": "v2",
"created": "Sat, 29 Dec 2007 03:57:26 GMT"
},
{
"version": "v3",
"created": "Fri, 18 Jan 2008 21:30:57 GMT"
}
] | 2011-11-10T00:00:00 | [
[
"O'Flanagan",
"Ruadhan",
""
]
] | [
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] |
712.4403 | Bert Schroer | Bert Schroer | Localization-Entropy from Holography on Null-Surfaces and the Split
Property | 35 pages, removal of misprints, bibliographical shortcomings
repaired, added paragraph in section 6 | null | null | null | hep-th cond-mat.other gr-qc quant-ph | null | Using the conformal equivalence of translational KMS states on chiral
theories with dilational KMS states obtained from restricting the vacuum state
to an interval (the chiral inversion of the Unruh-effect) it was shown in a
previous publications that the diverging volume (length) factor of the
thermodynamic limit corresponds to the logarithmic increase in the attenuation
length of the localization-caused vacuum polarization cloud near the causal
boundary. This is not a coincidence but rather a structural consequence of the
fact that both operator algebras are of the same unique von Neumann type which
is completely different from that met in quantum mechanical algebras. Together
with the technique of holographic projection this leads to the universal area
proportionality. The main aim in this paper is to present a derivation which is
more in the spirit of recent work on entanglement entropy in condensed matter
physics, especially to that of the replica trick as used by Cardy and
collaborators. The essential new ingredient is the use of the split property
which already has shown its constructive power in securing the existence of
models of factorizing theories.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:36:11 GMT"
},
{
"version": "v2",
"created": "Wed, 2 Jan 2008 20:22:04 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Schroer",
"Bert",
""
]
] | [
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712.4404 | Alexander Solovyov | Marcus K. Benna, Anatoly Dymarsky, Igor R. Klebanov and Alexander
Solovyov | On Normal Modes of a Warped Throat | LaTeX, 29 pages, 4 eps figures | JHEP 0806:070,2008 | 10.1088/1126-6708/2008/06/070 | PUPT-2253, SU-ITP-07/25, ITEP-TH-79/07 | hep-th | null | As shown in arXiv:hep-th/0405282, the warped deformed conifold has two
bosonic massless modes, a pseudoscalar and a scalar, that are dual to the phase
and the modulus of the baryonic condensates in the cascading gauge theory. We
reconsider the scalar mode sector, mixing fluctuations of the NS-NS 2-form and
the metric, and include non-zero 4-d momentum $k_\mu$. The resulting pair of
coupled equations produce a discrete spectrum of $m_4^2=- k_\mu^2$ which is
interpreted as the spectrum of $J^{PC}= 0^{+-}$ glueballs in the gauge theory.
Similarly, we derive the spectrum of certain pseudoscalar glueballs with
$J^{PC}= 0^{--}$, which originate from the decoupled fluctuations of the RR
2-form. We argue that each of the massive scalar or pseudoscalar modes we find
belongs to a 4-d massive axial vector or vector supermultiplet. We also discuss
our results in the context of a finite length throat embedded into a type IIB
flux compactification.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:42:10 GMT"
}
] | 2014-11-18T00:00:00 | [
[
"Benna",
"Marcus K.",
""
],
[
"Dymarsky",
"Anatoly",
""
],
[
"Klebanov",
"Igor R.",
""
],
[
"Solovyov",
"Alexander",
""
]
] | [
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] |
712.4405 | Steven Detweiler | Ian Vega, Steven Detweiler | Regularization of fields for self-force problems in curved spacetime:
foundations and a time-domain application | 15 pages, 12 figures, 1 table. More figures, extended summary | Phys.Rev.D77:084008,2008 | 10.1103/PhysRevD.77.084008 | null | gr-qc | null | We propose an approach for the calculation of self-forces, energy fluxes and
waveforms arising from moving point charges in curved spacetimes. As opposed to
mode-sum schemes that regularize the self-force derived from the singular
retarded field, this approach regularizes the retarded field itself. The
singular part of the retarded field is first analytically identified and
removed, yielding a finite, differentiable remainder from which the self-force
is easily calculated. This regular remainder solves a wave equation which
enjoys the benefit of having a non-singular source. Solving this wave equation
for the remainder completely avoids the calculation of the singular retarded
field along with the attendant difficulties associated with numerically
modeling a delta function source. From this differentiable remainder one may
compute the self-force, the energy flux, and also a waveform which reflects the
effects of the self-force. As a test of principle, we implement this method
using a 4th-order (1+1) code, and calculate the self-force for the simple case
of a scalar charge moving in a circular orbit around a Schwarzschild black
hole. We achieve agreement with frequency-domain results to ~ 0.1% or better.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:59:22 GMT"
},
{
"version": "v2",
"created": "Tue, 15 Jan 2008 14:51:35 GMT"
}
] | 2010-05-12T00:00:00 | [
[
"Vega",
"Ian",
""
],
[
"Detweiler",
"Steven",
""
]
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712.4406 | Patrick Berghaus | Patrick Berghaus (for the IceCube Collaboration) | Status and Results from AMANDA/IceCube | 8 pages, 3 figures | null | null | null | astro-ph | null | IceCube is a cubic kilometer-scale neutrino telescope under construction at
the South Pole since the austral summer 2004/2005. At the moment it is taking
data with 22 deployed strings. The full detector is expected to be completed in
2011 with up to 80 strings each holding 60 digital optical modules. The
progenitor detector AMANDA has been operating at the same site since 1997 and
is still running as an integral part of IceCube. A summary of AMANDA science
for its 10 years of standalone operations is presented, as well as the status
and first physics results of the IceCube project.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 20:54:59 GMT"
}
] | 2019-08-13T00:00:00 | [
[
"Berghaus",
"Patrick",
"",
"for the IceCube Collaboration"
]
] | [
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801.0001 | Melvyn B. Nathanson | Melvyn B. Nathanson | Linear forms and complementing sets of integers | 10 pages | Journal de Theorie des Nombres de Bordeaux 21 (2009), 343--355 | null | null | math.NT math.CO | null | Let $\varphi(x_1,\ldots,x_h,y) = u_1x_1 + \cdots + u_hx_h+vy$ be a linear
form with nonzero integer coefficients $u_1,\ldots, u_h, v.$ Let $\mathcal{A} =
(A_1,\ldots, A_h)$ be an $h$-tuple of finite sets of integers and let $B$ be an
infinite set of integers. Define the representation function associated to the
form $\varphi$ and the sets \mca\ and $B$ as follows: $$
R^{(\varphi)}_{\mathcal{A},B}(n) = \text{card}\left( \left\{ (a_1,\ldots,
a_h,b) \in A_1 \times \cdots \times A_h \times B: \varphi(a_1, \ldots , a_h,b )
= n \right\} \right).$$ If this representation function is constant, then the
set $B$ is periodic and the period of $B$ will be bounded in terms of the
diameter of the finite set $\{ \varphi(a_1,\ldots,a_h,0): (a_1,\ldots, a_h) \in
A_1 \times \cdots \times A_h\}.$
| [
{
"version": "v1",
"created": "Wed, 2 Jan 2008 20:48:54 GMT"
}
] | 2021-12-30T00:00:00 | [
[
"Nathanson",
"Melvyn B.",
""
]
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] |
801.0002 | Avon Huxor | A. P. Huxor, N. R. Tanvir, A. M. N. Ferguson, M. J. Irwin, R. Ibata,
T. Bridges, G. F. Lewis | Globular clusters in the outer halo of M31: the survey | Accepted to MNRAS | null | 10.1111/j.1365-2966.2008.12882.x | null | astro-ph | null | We report the discovery of 40 new globular clusters (GCs) that have been
found in surveys of the halo of M31 based on INT/WFC and CHFT/Megacam imagery.
A subset of these these new GCs are of an extended, diffuse nature, and include
those already found in Huxor et al. (2005). The search strategy is described
and basic positional and V and I photometric data are presented for each
cluster. For a subset of these clusters, K-band photometry is also given. The
new clusters continue to be found to the limit of the survey area (~100 kpc),
revealing that the GC system of M31 is much more extended than previously
realised. The new clusters increase the total number of confirmed GCs in M31 by
approximately 10% and the number of confirmed GCs beyond 1 degree (~14 kpc) by
more than 75%. We have also used the survey imagery as well recent HST archival
data to update the Revised Bologna Catalogue (RBC) of M31 globular clusters.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 21:06:38 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Huxor",
"A. P.",
""
],
[
"Tanvir",
"N. R.",
""
],
[
"Ferguson",
"A. M. N.",
""
],
[
"Irwin",
"M. J.",
""
],
[
"Ibata",
"R.",
""
],
[
"Bridges",
"T.",
""
],
[
"Lewis",
"G. F.",
""
]
] | [
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] |
801.0003 | Rosemary Harris | Gunter M. Sch\"utz, Fernando Pigeard de Almeida Prado, Rosemary J.
Harris, Vladimir Belitsky | Short-time behaviour of demand and price viewed through an exactly
solvable model for heterogeneous interacting market agents | 26 pages, 3 figures. v2: minor alterations, to appear in Physica A
(http://www.elsevier.com/wps/find/journaldescription.cws_home/505702/description#description) | Physica A 388 (2009) 4126-4144 | 10.1016/j.physa.2009.06.025 | null | q-fin.GN cond-mat.stat-mech physics.soc-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We introduce a stochastic heterogeneous interacting-agent model for the
short-time non-equilibrium evolution of excess demand and price in a stylized
asset market. We consider a combination of social interaction within peer
groups and individually heterogeneous fundamentalist trading decisions which
take into account the market price and the perceived fundamental value of the
asset. The resulting excess demand is coupled to the market price. Rigorous
analysis reveals that this feedback may lead to price oscillations, a single
bounce, or monotonic price behaviour. The model is a rare example of an
analytically tractable interacting-agent model which allows us to deduce in
detail the origin of these different collective patterns. For a natural choice
of initial distribution the results are independent of the graph structure that
models the peer network of agents whose decisions influence each other.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 21:01:30 GMT"
},
{
"version": "v2",
"created": "Tue, 16 Jun 2009 16:10:15 GMT"
}
] | 2009-07-20T00:00:00 | [
[
"Schütz",
"Gunter M.",
""
],
[
"Prado",
"Fernando Pigeard de Almeida",
""
],
[
"Harris",
"Rosemary J.",
""
],
[
"Belitsky",
"Vladimir",
""
]
] | [
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] |
801.0004 | Luca Fabrizio Di Cerbo | Luca Fabrizio Di Cerbo | A Ricci nilsoliton is nongradient | null | null | null | null | math.DG | null | In this brief note, we clarify that a Ricci nilsoliton cannot be of gradient
type.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 21:05:18 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Di Cerbo",
"Luca Fabrizio",
""
]
] | [
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] |
801.0005 | Stephen Doty | S. Doty, A. Giaquinto, and J. Sullivan | On the defining relations for generalized q-Schur algebras | 33 pages; to appear in "Advances in Math" | null | null | null | math.QA math.RA | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We show that the defining relations needed to describe a generalized q-Schur
algebra as a quotient of a quantized enveloping algebra are determined
completely by the defining ideal of a certain finite affine variety, the points
of which correspond bijectively to the set of weights. This explains, unifies,
and extends previous results.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 21:09:42 GMT"
},
{
"version": "v2",
"created": "Wed, 30 Apr 2008 01:51:12 GMT"
},
{
"version": "v3",
"created": "Fri, 6 Mar 2009 14:09:29 GMT"
}
] | 2009-03-06T00:00:00 | [
[
"Doty",
"S.",
""
],
[
"Giaquinto",
"A.",
""
],
[
"Sullivan",
"J.",
""
]
] | [
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801.0006 | Boudewijn Roukema | Boudewijn F. Roukema (1), Zbigniew Bulinski (1), Agnieszka Szaniewska
(1), Nicolas E. Gaudin (2,1) ((1) Torun Centre for Astronomy, (2) ENSP,
Universite Louis Pasteur) | The optimal phase of the generalised Poincare dodecahedral space
hypothesis implied by the spatial cross-correlation function of the WMAP sky
maps | 20 pages, 22 figures, accepted in Astronomy & Astrophysics, software
available at http://adjani.astro.umk.pl/GPLdownload/dodec/ and MCMCs at
http://adjani.astro.umk.pl/GPLdownload/MCMC | Astronomy & Astrophysics 486 (2008) 55 | 10.1051/0004-6361:20079339 | null | astro-ph gr-qc | null | Several studies have proposed that the shape of the Universe may be a
Poincare dodecahedral space (PDS) rather than an infinite, simply connected,
flat space. Both models assume a close to flat FLRW metric of about 30% matter
density. We study two predictions of the PDS model. (i) For the correct model,
the spatial two-point cross-correlation function, $\ximc$, of temperature
fluctuations in the covering space, where the two points in any pair are on
different copies of the surface of last scattering (SLS), should be of a
similar order of magnitude to the auto-correlation function, $\xisc$, on a
single copy of the SLS. (ii) The optimal orientation and identified circle
radius for a "generalised" PDS model of arbitrary twist $\phi$, found by
maximising $\ximc$ relative to $\xisc$ in the WMAP maps, should yield $\phi \in
\{\pm 36\deg\}$. We optimise the cross-correlation at scales < 4.0 h^-1 Gpc
using a Markov chain Monte Carlo (MCMC) method over orientation, circle size
and $\phi$. Both predictions were satisfied: (i) an optimal "generalised" PDS
solution was found, with a strong cross-correlation between points which would
be distant and only weakly correlated according to the simply connected
hypothesis, for two different foreground-reduced versions of the WMAP 3-year
all-sky map, both with and without the kp2 Galaxy mask: the face centres are
$(l,b)_{i=1,6}\approx (184d, 62d), (305d, 44d), (46d, 49d), (117d, 20d), (176d,
-4d), (240d, 13d) to within ~2d, and their antipodes; (ii) this solution has
twist \phi= (+39 \pm 2.5)d, in agreement with the PDS model. The chance of this
occurring in the simply connected model, assuming a uniform distribution $\phi
\in [0,2\pi]$, is about 6-9%.
| [
{
"version": "v1",
"created": "Wed, 2 Jan 2008 01:16:48 GMT"
},
{
"version": "v2",
"created": "Mon, 12 May 2008 14:10:43 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Roukema",
"Boudewijn F.",
""
],
[
"Bulinski",
"Zbigniew",
""
],
[
"Szaniewska",
"Agnieszka",
""
],
[
"Gaudin",
"Nicolas E.",
""
]
] | [
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801.0007 | Jonathan Barmak | Jonathan Ariel Barmak, Elias Gabriel Minian | One-point reductions of finite spaces, h-regular CW-complexes and
collapsibility | We wrote a more detailed introduction. 13 pages, 8 figures | Algebr. Geom. Topol. 8 (2008) 1763-1780 | 10.2140/agt.2008.8.1763 | null | math.AT math.CO math.GT | null | We investigate one-point reduction methods of finite topological spaces.
These methods allow one to study homotopy theory of cell complexes by means of
elementary moves of their finite models. We also introduce the notion of
h-regular CW-complex, generalizing the concept of regular CW-complex, and prove
that the h-regular CW-complexes, which are a sort of
combinatorial-up-to-homotopy objects, are modeled (up to homotopy) by their
associated finite spaces. This is accomplished by generalizing a classical
result of McCord on simplicial complexes.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 21:23:51 GMT"
},
{
"version": "v2",
"created": "Fri, 4 Jan 2008 20:34:14 GMT"
}
] | 2014-10-01T00:00:00 | [
[
"Barmak",
"Jonathan Ariel",
""
],
[
"Minian",
"Elias Gabriel",
""
]
] | [
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0.0803678185,
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801.0008 | Ruslan Sharipov | Ruslan Sharipov | A cubic identity for the Infeld-van der Waerden field and its
application | AmSTeX, 18 pages, amsppt style | null | null | null | math.DG math-ph math.MP | null | A cubic identity for the Infeld-van der Waerden field is found and its
application to verifying an explicit formula for the spinor components of the
metric connection is demonstrated.
| [
{
"version": "v1",
"created": "Sun, 30 Dec 2007 21:23:59 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Sharipov",
"Ruslan",
""
]
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] |
801.0009 | Jean-Paul Blaizot | Jean-Paul Blaizot | Non Perturbative Renormalization Group and Bose-Einstein Condensation | Lectures given at the 2006 ECT* School "Renormalization Group and
Effective Field Theory Approaches to Many-Body Systems", Trento, Italy. Late
submission to arXiv | null | null | null | cond-mat.stat-mech | null | These lectures are centered around a specific problem, the effect of weak
repulsive interactions on the transition temperature $T_c$ of a Bose gas. This
problem provides indeed a beautiful illustration of many of the techniques
which have been discussed at this school on effective theories and
renormalization group. Effective theories are used first in order to obtain a
simple hamiltonian describing the atomic interactions: because the typical
atomic interaction potentials are short range, and the systems that we consider
are dilute, these potentials can be replaced by a contact interaction whose
strength is determined by the s-wave scattering length. Effective theories are
used next in order to obtain a simple formula for the shift in $T_c$: one
exploits there the fact that near $T_c$ the physics is dominated by low
momentum modes whose dynamics is most economically described in terms of
classical fields; the ingredients needed to calculate the shift of $T_c$ can be
obtained from this classical field theory. Finally the renormalization group is
used both to obtain a qualitative understanding, and also as a non perturbative
tool to evaluate quantitatively the shift in $T_c$.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 22:02:12 GMT"
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] | 2008-01-03T00:00:00 | [
[
"Blaizot",
"Jean-Paul",
""
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801.001 | Eduardo J. Dubuc | Eduardo J. Dubuc | 2-filteredness and the point of every Galois topos | 5 pages, result presented at CT2007, Cavoeiro | null | null | null | math.CT math.AG | null | A locally connected topos is a Galois topos if the Galois objects generate
the topos. We show that the full subcategory of Galois objects in any connected
locally connected topos is an inversely 2-filtered 2-category, and as an
application of the construction of 2-filtered bi-limits of topoi, we show that
every Galois topos has a point.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 22:08:02 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Dubuc",
"Eduardo J.",
""
]
] | [
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801.0011 | Quang-Cuong Pham | Nicolas Tabareau, Jean-Jacques Slotine, Quang-Cuong Pham | How synchronization protects from noise | 14 pages, 5 figures | null | null | null | q-bio.NC | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Synchronization phenomena are pervasive in biology. In neuronal networks, the
mechanisms of synchronization have been extensively studied from both
physiological and computational viewpoints. The functional role of
synchronization has also attracted much interest and debate. In particular,
synchronization may allow distant sites in the brain to communicate and
cooperate with each other, and therefore it may play a role in temporal binding
and in attention and sensory-motor integration mechanisms.
In this article, we study another role for synchronization: the so-called
"collective enhancement of precision." We argue, in a full nonlinear dynamical
context, that synchronization may help protect interconnected neurons from the
influence of random perturbations -- intrinsic neuronal noise -- which affect
all neurons in the nervous system. This property may allow reliable
computations to be carried out even in the presence of significant noise (as
experimentally found e.g., in retinal ganglion cells in primates), as
mathematically it is key to obtaining meaningful downstream signals, whether in
terms of precisely-timed interaction (temporal coding), population coding, or
frequency coding. Using stochastic contraction theory, we show how
synchronization of nonlinear dynamical systems helps protect these systems from
random perturbations.
Our main contribution is a mathematical proof that, under specific quantified
conditions, the impact of noise on each individual system and on the spatial
mean can essentially be cancelled through synchronization. Similar concepts may
be applicable to questions in systems biology.
| [
{
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{
"version": "v2",
"created": "Sun, 6 Apr 2008 16:37:38 GMT"
},
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"version": "v3",
"created": "Thu, 13 Nov 2008 20:56:31 GMT"
},
{
"version": "v4",
"created": "Wed, 1 Apr 2009 04:47:34 GMT"
},
{
"version": "v5",
"created": "Thu, 18 Jun 2009 06:07:40 GMT"
}
] | 2009-06-18T00:00:00 | [
[
"Tabareau",
"Nicolas",
""
],
[
"Slotine",
"Jean-Jacques",
""
],
[
"Pham",
"Quang-Cuong",
""
]
] | [
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801.0012 | Janos Polonyi | Janos Polonyi | Semiclassical Coulomb field | Final version to appear in Physical Review D, 13 pages, 5 figures | Phys.Rev.D77:125018,2008 | 10.1103/PhysRevD.77.125018 | null | quant-ph | null | The contribution of different modes of the Coulomb field to decoherence and
to the dynamical breakdown of the time reversal invariance is calculated in the
one-loop approximation for non-relativistic electron gas. The dominant
contribution was found to come from the usual collective modes in the plasma,
namely the zero-sound and the plasmon oscillations. The length scale of the
quantum-classical transition is found to be close to the Thomas-Fermi screening
length. It is argued that the extension of these modes to the whole Fock-space
yield optimal pointer states.
| [
{
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"created": "Fri, 28 Dec 2007 23:19:42 GMT"
},
{
"version": "v2",
"created": "Thu, 22 May 2008 11:32:46 GMT"
}
] | 2010-09-17T00:00:00 | [
[
"Polonyi",
"Janos",
""
]
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] |
801.0013 | Carl Henney | C. J. Henney, C. U. Keller, J. W. Harvey, M. K. Georgoulis, N. L.
Hadder, A. A. Norton, N.-E. Raouafi, R. M. Toussaint | SOLIS Vector Spectromagnetograph: status and science | 4 pages, 2 figures, Solar Polarimetry Workshop 5, PASP | Solar Polarization 5, In ASP Conference Series, Vol. 405, 2009.,
p.47 | null | null | astro-ph | null | The Vector Spectromagnetograph (VSM) instrument has been recording
photospheric and chromospheric magnetograms daily since August 2003. Full-disk
photospheric vector magnetograms are observed at least weekly and, since
November 2006, area-scans of active regions daily. Quick-look vector magnetic
images, plus X3D and FITS formated files, are now publicly available daily. In
the near future, Milne-Eddington inversion parameter data will also be
available and a typical observing day will include three full-disk photospheric
vector magnetograms. Besides full-disk observations, the VSM is capable of high
temporal cadence area-scans of both the photosphere and chromosphere.
Carrington rotation and daily synoptic maps are also available from the
photospheric magnetograms and coronal hole estimate images.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 23:20:18 GMT"
}
] | 2009-08-13T00:00:00 | [
[
"Henney",
"C. J.",
""
],
[
"Keller",
"C. U.",
""
],
[
"Harvey",
"J. W.",
""
],
[
"Georgoulis",
"M. K.",
""
],
[
"Hadder",
"N. L.",
""
],
[
"Norton",
"A. A.",
""
],
[
"Raouafi",
"N. -E.",
""
],
[
"Toussaint",
"R. M.",
""
]
] | [
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801.0014 | Horacio E. Castillo | Horacio E. Castillo | Time reparametrization symmetry in spin glass models | v2: Added a more detailed discussion of the physical consequences of
the symmetry. (14 pages, no figures) v1: 11 pages, no figures | Phys. Rev. B 78, 214430 (2008) | 10.1103/PhysRevB.78.214430 | null | cond-mat.dis-nn cond-mat.soft cond-mat.stat-mech | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We study the long-time aging dynamics of spin-glass models with two-spin
interactions by performing a Renormalization Group transformation on the time
variable in the non-equilibrium dynamical generating functional. We obtain the
RG equations and find that the flow converges to an exact fixed point. We show
that this fixed point is invariant under reparametrizations of the time
variable. This continuous symmetry is broken, as evidenced by the fact that the
observed correlations and responses are not invariant under it. We argue that
this gives rise to the presence of Goldstone modes, and that those Goldstone
modes shape the behavior of fluctuations in the nonequilibrium dynamics.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 09:31:01 GMT"
},
{
"version": "v2",
"created": "Wed, 13 Aug 2008 21:42:03 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Castillo",
"Horacio E.",
""
]
] | [
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] |
801.0015 | Motohico Mulase | Andrew R. Hodge and Motohico Mulase | Hitchin integrable systems, deformations of spectral curves, and KP-type
equations | 35 pages. Reference updated | Advanced Studies in Pure Mathematics vol. 59, 31--77 (2010) | null | null | math.AG math-ph math.MP nlin.SI | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An effective family of spectral curves appearing in Hitchin fibrations is
determined. Using this family the moduli spaces of stable Higgs bundles on an
algebraic curve are embedded into the Sato Grassmannian. We show that the
Hitchin integrable system, the natural algebraically completely integrable
Hamiltonian system defined on the Higgs moduli space, coincides with the KP
equations. It is shown that the Serre duality on these moduli spaces
corresponds to the formal adjoint of pseudo-differential operators acting on
the Grassmannian. From this fact we then identify the Hitchin integrable system
on the moduli space of Sp(2m)-Higgs bundles in terms of a reduction of the KP
equations. We also show that the dual Abelian fibration (the SYZ mirror dual)
to the Sp(2m)-Higgs moduli space is constructed by taking the symplectic
quotient of a Lie algebra action on the moduli space of GL-Higgs bundles.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 23:36:46 GMT"
},
{
"version": "v2",
"created": "Mon, 14 Jan 2008 01:13:22 GMT"
},
{
"version": "v3",
"created": "Fri, 29 Aug 2008 23:13:29 GMT"
}
] | 2010-10-05T00:00:00 | [
[
"Hodge",
"Andrew R.",
""
],
[
"Mulase",
"Motohico",
""
]
] | [
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] |
801.0016 | Jan {\AA}man | Jan E. Aman, Narit Pidokrajt | Ruppeiner Geometry of Black Hole Thermodynamics | 5 pages, 2 figures. Talk given at 30th Spanish Relativity Meeting
(ERE 2007): Relativistic Astrophysics And Cosmology, 10-14 Sep 2007, Puerto
de La Cruz, Tenerife, Spain | null | 10.1051/eas:0830042 | null | gr-qc | null | The Hessian of the entropy function can be thought of as a metric tensor on
state space. In the context of thermodynamical fluctuation theory Ruppeiner has
argued that the Riemannian geometry of this metric gives insight into the
underlying statistical mechanical system; the claim is supported by numerous
examples. We study these geometries for some families of black holes and find
that the Ruppeiner geometry is flat for Reissner--Nordstr\"om black holes in
any dimension, while curvature singularities occur for the Kerr black holes.
Kerr black holes have instead flat Weinhold curvature.
| [
{
"version": "v1",
"created": "Fri, 28 Dec 2007 23:57:11 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Aman",
"Jan E.",
""
],
[
"Pidokrajt",
"Narit",
""
]
] | [
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] |
801.0017 | Y. M. Pihlstr\"om | Ylva M. Pihlstr\"om, Vincent L. Fish, Lor\'ant O. Sjouwerman, Laura K.
Zschaechner, Philip B. Lockett, Moshe Elitzur | Excited-state OH Masers and Supernova Remnants | Accepted to ApJ, 7 pages including 1 table and 4 figures | null | 10.1086/529009 | null | astro-ph | null | The collisionally pumped, ground-state 1720 MHz maser line of OH is widely
recognized as a tracer for shocked regions and observed in star forming regions
and supernova remnants. Whereas some lines of excited states of OH have been
detected and studied in star forming regions, the subject of excited-state OH
in supernova remnants -- where high collision rates are to be expected -- is
only recently being addressed. Modeling of collisional excitation of OH
demonstrates that 1720, 4765 and 6049 MHz masers can occur under similar
conditions in regions of shocked gas. In particular, the 6049 and 4765 MHz
masers become more significant at increased OH column densities where the 1720
MHz masers begin to be quenched. In supernova remnants, the detection of
excited-state OH line maser emission could therefore serve as a probe of
regions of higher column densities. Using the Very Large Array, we searched for
excited-state OH in the 4.7, 7.8, 8.2 and 23.8 GHz lines in four well studied
supernova remnants with strong 1720 MHz maser emission (SgrAEast, W28, W44 and
IC443). No detections were made, at typical detection limits of around 10
mJy/beam. The search for the 6 GHz lines were done using Effelsberg since the
VLA receivers did not cover those frequencies, and are reported on in an
accompanying letter (Fish, Sjouwerman & Pihlstrom 2007). We also
cross-correlated the positions of known supernova remnants with the positions
of 1612 MHz maser emission obtained from blind surveys. No probable
associations were found, perhaps except in the SgrAEast region. The lack of
detections of excited-state OH indicates that the OH column densities suffice
for 1720 MHz inversion but not for inversion of excited-state transitions,
consistent with the expected results for C-type shocks.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 00:41:39 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Pihlström",
"Ylva M.",
""
],
[
"Fish",
"Vincent L.",
""
],
[
"Sjouwerman",
"Loránt O.",
""
],
[
"Zschaechner",
"Laura K.",
""
],
[
"Lockett",
"Philip B.",
""
],
[
"Elitzur",
"Moshe",
""
]
] | [
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] |
801.0018 | Tatsuru Kikuchi | Tatsuru Kikuchi, Nobuchika Okada and Michihisa Takeuchi | Unparticle physics at the photon collider | 29 pages, 16 figures; version to appear in Phys. Rev. D | Phys.Rev.D77:094012,2008 | 10.1103/PhysRevD.77.094012 | KEK-TH-1202 | hep-ph hep-th | null | Recently, a conceptually new physics beyond the Standard Model (SM),
unparticle, has been proposed, where a hidden conformal sector is coupled to
the SM sector through higher dimensional operators. In this setup, we
investigate unparticle physics at the photon collider, in particular,
unparticle effects on the gamma gamma to gamma gamma process. Since this
process occurs at loop level in the SM, the unparticle effects can be
significant even if the cutoff scale is very high. In fact, we find that the
unparticle effects cause sizable deviations from the SM results. The scaling
dimension of the unparticle d_U reflects the dependence of the cross section on
the final state photon invariant mass, so that precision measurements of this
dependence may reveal the scaling dimension of the unparticle.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 01:28:40 GMT"
},
{
"version": "v2",
"created": "Sat, 5 Jan 2008 12:59:24 GMT"
},
{
"version": "v3",
"created": "Thu, 3 Apr 2008 17:27:23 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kikuchi",
"Tatsuru",
""
],
[
"Okada",
"Nobuchika",
""
],
[
"Takeuchi",
"Michihisa",
""
]
] | [
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] |
801.0019 | Changxing Miao | Changxing Miao, Guixiang Xu and Lifeng Zhao | Global well-posedness, scattering and blow-up for the energy-critical,
focusing Hartree equation in the radial case | 35 pages, 2 figures | Colloquium Mathematicum, 114(2009)213-236 | 10.4064/cm114-2-5 | null | math.AP math-ph math.MP | null | We establish global existence, scattering for radial solutions to the
energy-critical focusing Hartree equation with energy and $\dot{H}^1$ norm less
than those of the ground state in $\mathbb{R}\times \mathbb{R}^d$, $d\geq 5$.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 01:26:12 GMT"
},
{
"version": "v2",
"created": "Thu, 3 Jan 2008 13:48:09 GMT"
}
] | 2009-01-11T00:00:00 | [
[
"Miao",
"Changxing",
""
],
[
"Xu",
"Guixiang",
""
],
[
"Zhao",
"Lifeng",
""
]
] | [
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] |
801.002 | Shu Chen | Shu Chen, Li Wang, Yajiang Hao, Yupeng Wang | Intrinsic relation between ground-state fidelity and the
characterization of a quantum phase transition | 5 pages, 3 figures | Phys. Rev. A 77, 032111 (2008) | 10.1103/PhysRevA.77.032111 | null | cond-mat.other cond-mat.stat-mech | null | The notion of fidelity in quantum information science has been recently
applied to analyze quantum phase transitions from the viewpoint of the ground
state (GS) overlap for various many-body systems. In this work, we unveil the
intrinsic relation between the GS fidelity and the derivatives of GS energy and
find that they play equivalent role in identifying the quantum phase
transition. The general connection between the two approaches enables us to
understand the different singularity and scaling behaviors of fidelity
exhibited in various systems on general grounds. Our general conclusions are
illustrated via several quantum spin models which exhibit different kinds of
QPTs.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 01:26:48 GMT"
},
{
"version": "v2",
"created": "Tue, 25 Mar 2008 01:12:42 GMT"
}
] | 2008-03-25T00:00:00 | [
[
"Chen",
"Shu",
""
],
[
"Wang",
"Li",
""
],
[
"Hao",
"Yajiang",
""
],
[
"Wang",
"Yupeng",
""
]
] | [
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] |
801.0021 | Ming-Ho Siu | M. Stewart Siu, Marvin Weinstein | Bootstrap Approximations in Contractor Renormalization | Some clarifications added for Phys Rev submission | null | 10.1103/PhysRevB.77.155116 | null | cond-mat.str-el cond-mat.other | null | We propose a bootstrap method for approximating the long-range terms in the
Contractor Renormalization (CORE) method. The idea is tested on the 2-D
Heisenberg antiferromagnet and the frustrated J_2-J_1 model. We obtain
renormalization group flows that directly reveal the Neel phase of the
unfrustrated HAF and the existence of a phase transition in the J_2-J_1 model
for weak frustration. However, we find that this bootstrap method is dependent
on blocking and truncation schemes. For this reason, we discuss these
dependencies and unresolved issues that researchers who use this approach must
consider.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 01:35:38 GMT"
},
{
"version": "v2",
"created": "Fri, 18 Jan 2008 22:24:56 GMT"
},
{
"version": "v3",
"created": "Fri, 29 Feb 2008 03:48:28 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Siu",
"M. Stewart",
""
],
[
"Weinstein",
"Marvin",
""
]
] | [
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801.0022 | C. Q. Geng | C. Q. Geng and Y. K. Hsiao | Direct CP and T Violation in Baryonic B Decays | 6 pages, Talk given at 4th International Conference on Flavor Physics
(ICFP 2007), Beijing, China, 24-28 Sep 2007 | Int.J.Mod.Phys.A23:3290-3295,2008 | 10.1142/S0217751X08041992 | null | hep-ph | null | We review the direct CP and T violation in the three-body baryonic B decays
in the standard model. In particular, we emphasize that the direct CP violating
asymmetry in $B^\pm\to p\bar p K^{*\pm}$ is around 22% and the direct $T$
violating asymmetry in $\bar B^0 \ra \Lambda \bar p \pi^+$ can be as large as
12%, which are accessible to the current B factories at KEK and SLAC as well as
SuperB and LHCb.
| [
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] | 2008-11-26T00:00:00 | [
[
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"C. Q.",
""
],
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"Hsiao",
"Y. K.",
""
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801.0023 | Sheldon Joyner | Sheldon Joyner | On a generalization of Chen's iterated integrals | v3 contains a corrected version of the proof of Theorem 12 | J. Number Theory, 130 no.2, Feb 2010, pp. 254-288 | null | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Chen's iterated integrals may be generalized by interpolation of functions of
the positive integer number of times which particular forms are iterated in
integrals along specific paths, to certain complex values. These generalized
iterated integrals satisfy both an additive and a (non-classical)
multiplicative iterative property, in addition to a comultiplication formula.
This theory is developed in the first part of the paper, after which various
applications are discussed, including the expression of certain zeta functions
as complex iterated integrals (from which an obstruction to the existence of a
contour integration proof of the functional equation for the Dedekind zeta
function emerges); an elegant reformulation of a result of Gel'fand and Shilov
in the theory of distributions which gives a way of thinking about complex
iterated derivatives; and a direct topological proof of the monodromy of
polylogarithms.
| [
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{
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] | 2010-08-25T00:00:00 | [
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801.0024 | C. Q. Geng | C. Q. Geng, S. H. Ho and J. N. Ng | CPT conserving cosmological birefringence | 4 pages, Talk given at 4th International Conference on Flavor Physics
(ICFP 2007), Beijing, China, 24-28 Sep 2007 | Int.J.Mod.Phys.A23:3408-3411,2008 | 10.1142/S0217751X08042213 | null | astro-ph | null | We demonstrate that the cosmological birefringence can arise from CPT
conserving effect, originated from the CPT-even dimension-six Chern-Simons-like
term. We show that a sizable rotation polarization angle in the data of the
cosmic microwave background radiation polarization can be induced.
| [
{
"version": "v1",
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] | 2009-06-23T00:00:00 | [
[
"Geng",
"C. Q.",
""
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"S. H.",
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] |
801.0025 | Jaime Besprosvany | J. Besprosvany | Cosmology with dark energy decaying through its chemical-potential
contribution | 7 pages; presented at 2nd International Conference on Quantum
Theories and Renormalization Group in Gravity and Cosmology, Barcelona, July,
2006 | J.Phys.A40:7099-7104,2007 | 10.1088/1751-8113/40/25/S68 | null | astro-ph | null | The consideration of dark energy's quanta, required also by thermodynamics,
introduces its chemical potential into the cosmological equations. Isolating
its main contribution, we obtain solutions with dark energy decaying to matter
or radiation. When dominant, their energy densities tend asymptotically to a
constant ratio, explaining today's dark energy-dark matter coincidence, and in
agreement with supernova redshift data.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 01:56:44 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Besprosvany",
"J.",
""
]
] | [
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] |
801.0026 | Hiroyuki Kawamura | Hiroyuki Kawamura, Jiro Kodaira, Kazuhiro Tanaka | Double-spin asymmetries for small-Q_T Drell-Yan pair production in
transversely polarized p\bar{p} collisions | 18 pages, 8 figures; references added; version to appear in PLB | Phys.Lett.B662:139-149,2008 | 10.1016/j.physletb.2008.02.056 | null | hep-ph | null | We discuss the Drell-Yan process at a measured transverse-momentum $Q_T$ of
the produced lepton pair in collisions of transversely polarized protons and
antiprotons, to be observed at the proposed spin experiments at GSI. The large
logarithmic contributions from multiple soft gluon emission, accompanying the
Drell-Yan mechanism at small $Q_T$, are resummed to all orders in QCD
perturbation theory up to next-to-leading logarithmic (NLL) accuracy. Numerical
evaluation shows the impact of the NLL as well as LL effect on the dilepton
$Q_T$ spectra. For the corresponding $Q_T$-dependent spin asymmetry $\aqt$, the
LL effect gives significant modification while the NLL effect is marginal,
leading to QCD prediction that $\aqt$ at GSI is flat at small and moderate
$Q_T$ and almost equals the conventional asymmetry $A_{TT}$ associated with the
$Q_T$-integrated cross sections. This flat behavior in turn allows us to use
analytic saddle-point evaluation of the resummation formula in the limit
$Q_T\to 0$, not only to obtain quantitative estimate of $\aqt$, but also to
clarify mechanisms behind the relation $\aqt \simeq A_{TT}$ characteristic of
$p\bar{p}$ collisions at GSI.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 05:40:14 GMT"
},
{
"version": "v2",
"created": "Wed, 27 Feb 2008 13:24:31 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Kawamura",
"Hiroyuki",
""
],
[
"Kodaira",
"Jiro",
""
],
[
"Tanaka",
"Kazuhiro",
""
]
] | [
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] |
801.0027 | Shi-Jie Xiong | Shi-Jie Xiong and Ye Xiong | Anderson localization of electron states in graphene in different types
of disorder | 24 pages, 12 figures | Phys. Rev. B, 76, 214204 (2007) | 10.1103/PhysRevB.76.214204 | null | cond-mat.dis-nn cond-mat.mes-hall | null | Anderson localization of electron states on graphene lattice with diagonal
and off-diagonal (OD) disorder in the absence of magnetic field is investigated
by using the standard finite-size scaling analysis. In the presence of diagonal
disorder all states are localized as predicted by the scaling theory for
two-dimensional systems. In the case of OD disorder, the states at the Dirac
point (E=0) are shown to be delocalized due to the specific chiral symmetry,
although other states ($E \neq 0$) are still localized. In OD disorder the
conductance at E=0 in an $M\times L$ rectangular system at the thermodynamical
limit is calculated with the transfer-matrix technique for various values of
ratio $M/L$ and different types of distribution functions of the OD elements
$t_{nn'}$. It is found that if all the $t_{nn'}$'s are positive the conductance
is independent of $L/M$ as restricted by 2 delocalized channels at E=0. If the
distribution function includes the sign randomness of elements $t_{nn'}$, the
conductivity, rather than the conductance, becomes $L/M$ independent. The
calculated value of the conductivity is around $\frac{4e^2}{h}$, in consistence
with the experiments.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 02:18:25 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Xiong",
"Shi-Jie",
""
],
[
"Xiong",
"Ye",
""
]
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801.0028 | Barry Taylor | Peter J. Mohr, Barry N. Taylor, and David B. Newell | CODATA Recommended Values of the Fundamental Physical Constants: 2006 | 105 pages, 7 figures, 46 tables; describes in detail the 2006 CODATA
adjustment of the values of the constants | Rev.Mod.Phys.80:633-730,2008 | 10.1103//RevModPhys.80.633 | null | physics.atom-ph physics.chem-ph physics.data-an | null | This paper gives the 2006 self-consistent set of the basic constants and
conversion factors of physics and chemistry recommended by the Committee on
Data for Science and Technology (CODATA) for international use. Further, it
describes in detail the adjustment of the values of the constants, including
the selection of the final set of input data based on the results of
least-squares analyses. The 2006 adjustment takes into account the data
considered in the 2002 adjustment as well as the data that became available
between 31 December 2002, the closing date of that adjustment, and 31 December
2006, the closing date of the new adjustment. The new data have led to a
significant reduction in the uncertainties of many recommended values. The 2006
set replaces the previously recommended 2002 CODATA set and also may be found
on the World Wide Web at physics.nist.gov/constants.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 02:39:17 GMT"
}
] | 2012-03-26T00:00:00 | [
[
"Mohr",
"Peter J.",
""
],
[
"Taylor",
"Barry N.",
""
],
[
"Newell",
"David B.",
""
]
] | [
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801.0029 | Shi-Jie Xiong | Shi-Jie Xiong and Ye Xiong | Vibration Induced Non-adiabatic Geometric Phase and Energy Uncertainty
of Fermions in Graphene | 9 pages, 5 figures | Europhys. Lett. 80, 60008 (2007) | 10.1209/0295-5075/80/60008 | null | cond-mat.mes-hall cond-mat.mtrl-sci | null | We investigate geometric phase of fermion states under relative vibrations of
two sublattices in graphene by solving time-dependent Sch\"{o}dinger equation
using Floquet scheme. In a period of vibration the fermions acquire different
geometric phases depending on their momenta. There are two regions in the
momentum space: the adiabatic region where the geometric phase can be
approximated by the Berry phase and the chaotic region where the geometric
phase drastically fluctuates in changing parameters. The energy of fermions due
to vibrations shows spikes in the chaotic region. The results suggest a
possible dephasing mechanism which may cause classical-like transport
properties in graphene.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 02:47:45 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Xiong",
"Shi-Jie",
""
],
[
"Xiong",
"Ye",
""
]
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] |
801.003 | Luis Dieulefait | Luis Dieulefait, Jorge Jimenez Urroz | Small primitive roots and malleability of RSA moduli | null | null | null | null | math.NT | null | In a paper of P. Paillier and J. Villar a conjecture is made about the
malleability of an RSA modulus. In this paper we present an explicit algorithm
refuting the conjecture. Concretely we can factorize an RSA modulus n using
very little information on the factorization of a concrete n' coprime to n.
However, we believe the conjecture might be true, when imposing some extra
conditions on the auxiliary n' allowed to be used. In particular, the paper
shows how subtle the notion of malleability is.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 03:16:02 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Dieulefait",
"Luis",
""
],
[
"Urroz",
"Jorge Jimenez",
""
]
] | [
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] |
801.0031 | Takeshi Nakamori | T. Nakamori, H. kubo, T. Yoshida, T. Tanimori, R. Enomoto, et al (for
the CANGAROO-III collaboration) | Observation of an extended VHE gamma-ray emission from MSH 15-52 with
CANGAROO-III | 9 pages, 9 figures, Accepted in ApJ | null | 10.1086/529029 | null | astro-ph | null | We have observed the supernova remnant MSH 15-52 (G320.4-1.2), which contains
the gamma-ray pulsar PSR B1509-58, using the CANGAROO-III imaging atmospheric
Cherenkov telescope array from April to June in 2006. We detected gamma rays
above 810 GeV at the 7 sigma level during a total effective exposure of 48.4
hours. We obtained a differential gamma-ray flux at 2.35 TeV of
(7.9+/-1.5_{stat}+/-1.7_{sys}) \times 10^{-13} cm^{-2}s^{-1}TeV^{-1} with a
photon index of 2.21+/-0.39_{stat}+/-0.40_{sys}, which is compatible with that
of the H.E.S.S. observation in 2004. The morphology shows extended emission
compared to our Point Spread Function. We consider the plausible origin of the
high energy emission based on a multi-wavelength spectral analysis and
energetics arguments.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:01:00 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Nakamori",
"T.",
""
],
[
"kubo",
"H.",
""
],
[
"Yoshida",
"T.",
""
],
[
"Tanimori",
"T.",
""
],
[
"Enomoto",
"R.",
""
]
] | [
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] |
801.0032 | Chiang-Mei Chen | Chiang-Mei Chen | Extremal dilatonic black holes in 4D Gauss-Bonnet gravity | 4 pages, contribution to the proceedings of the 8th Asia-Pacific
International Conference on Gravitation and Astrophysics (ICGA8) | Prog.Theor.Phys.Suppl.172:161-164,2008 | 10.1143/PTPS.172.161 | null | hep-th | null | This is a report of our recent investigation on the extremal dilatonic black
holes in four dimensional Gauss-Bonnet gravity. We found that a global solution
can exist only when the dilaton coupling is less than a critical value which
can be determined numerically. Moreover, the black hole horizon is stretched by
the Gauss-Bonnet correction and the entropy is twice the value given by
Bekenstein-Hawking formula.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 04:37:26 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Chen",
"Chiang-Mei",
""
]
] | [
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] |
801.0033 | Gabriella B\"ohm | Gabriella B\"ohm and Dragos Stefan | Examples of para-cocyclic objects induced by BD-laws | 22 pages, 8 eps figures | Algebr. Represent. Theory 12 (2009), no. 2-5, 153-180 | 10.1007/s10468-009-9160-7 | null | math.KT math.QA | null | In a recent paper arXiv:0705.3190, we gave a general construction of a
para-cocyclic structure on a cosimplex, associated to a so called admissible
septuple -- consisting of two categories, three functors and two natural
transformations, subject to compatibility relations. The main examples of such
admissible septuples were induced by algebra homomorphisms. In this note we
provide more general examples coming from appropriate (`locally braided')
morphisms of monads.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 07:24:03 GMT"
}
] | 2012-01-27T00:00:00 | [
[
"Böhm",
"Gabriella",
""
],
[
"Stefan",
"Dragos",
""
]
] | [
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] |
801.0034 | Kouji Kashiwa | Yuji Sakai, Kouji Kashiwa, Hiroaki Kouno, Masanobu Yahiro | Polyakov loop extended NJL model with imaginary chemical potential | 5 pages, 5 figures | Phys.Rev.D77:051901,2008 | 10.1103/PhysRevD.77.051901 | null | hep-ph hep-lat hep-th nucl-th | null | The Polyakov loop extended Nambu--Jona-Lasinio (PNJL) model with imaginary
chemical potential is studied. The model possesses the extended ${\mathbb
Z}_{3}$ symmetry that QCD does. Quantities invariant under the extended
${\mathbb Z}_{3}$ symmetry, such as the partition function, the chiral
condensate and the modified Polyakov loop, have the Roberge-Weiss (RW)
periodicity. The phase diagram of confinement/deconfinement transition derived
with the PNJL model is consistent with the RW prediction on it and the results
of lattice QCD. The phase diagram of chiral transition is also presented by the
PNJL model.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 07:14:58 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Sakai",
"Yuji",
""
],
[
"Kashiwa",
"Kouji",
""
],
[
"Kouno",
"Hiroaki",
""
],
[
"Yahiro",
"Masanobu",
""
]
] | [
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] |
801.0035 | Yi-Fei Wang | Yi-Fei Wang, Yang Zhao, and Chang-De Gong | Four-Step Evolution of Spin-Hall Conductance: Tight-Binding Electrons
with Rashba Coupling in a Magnetic Field | 4 pages, 5 figures | Phys. Rev. B 78, 045301 (2008) | 10.1103/PhysRevB.78.045301 | null | cond-mat.mes-hall cond-mat.mtrl-sci | null | An intriguing magneto-transport property is demonstrated by tight-binding
lattice electrons with Rashba spin-orbit coupling (SOC) in a magnetic field.
With the flux strength $\phi={2\pi/N}$ ($N$ is an integer) and the Zeeman
splitting fixed, when increasing the Rashba SOC $\lambda$, the spin-Hall and
charge-Hall conductances (SHC and CHC) undergo four-step evolutions: the SHC
shows size-dependent resonances and jumps at three critical $\lambda_{c}$'s,
and changes its sign at $\lambda_{c1}$ and $\lambda_{c3}$; while the CHC
exhibits three quantum jumps by $-Ne^2/h$, $+2Ne^2/h$ and $-Ne^2/h$. Such
four-step evolutions are also reflected in topological characters and spin
polarizations of edge states of a cylindrical system, and are robust against
weak disorder.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 07:53:49 GMT"
}
] | 2008-07-09T00:00:00 | [
[
"Wang",
"Yi-Fei",
""
],
[
"Zhao",
"Yang",
""
],
[
"Gong",
"Chang-De",
""
]
] | [
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801.0036 | Adrian Palcu | Adrian Palcu | Charged and Neutral Currents in a 3-3-1 Model with Right-Handed
Neutrinos | 14 pages, 1 Table, no figures | Mod.Phys.Lett. A23 (2008) 387-399 | 10.1142/S0217732308026509 | null | hep-ph | null | The charged and the neutral currents are obtained by using a formal
algebraical approach (developed and applied by the author) within the exact
solution of a 3-3-1 gauge model with right-handed neutrinos. The entire
Standard Model phenomenology is recovered without imposing any supplemental
condition, but only by choosing an adecquate set of parameters from the very
beginning of the calculus. A new and rich phenomenology regarding the particles
and their currents occurs as well. The appealing feature of our results resides
in the exact expressions of the currents which need not the adjustment usually
due to the small mixing angle $\phi$ between neutral bosons $Z$ and
$Z^{\prime}$ (like in the most of the papers in the literature treating the
same issue). The required mixing was considered and aleready performed as an
intermediate step by the solving method itself, since the physical eigenstates
of those bosons were determined and then identified in the neutral currents.
| [
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801.0037 | Viktor Maslov Professor | V. P. Maslov | Quasithermodynamics and a Correction to the Stefan--Boltzmann Law | Latex, 9pages | null | 10.1007/s11232-008-0015-x | null | math-ph math.MP | null | We provide a correction to the Stefan--Boltzmann law and discuss the problem
of a phase transition from the superfluid state into the normal state.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 08:43:13 GMT"
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"V. P.",
""
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801.0038 | Patricia Whitelock | John Menzies, Michael Feast, Patricia Whitelock, Enrico Olivier,
Noriyuki Matsunaga and Gary Da Costa | Asymptotic Giant Branch Stars in the Phoenix Dwarf Galaxy | 9 Pages, 7 figures, accepted for MNRAS | null | 10.1111/j.1365-2966.2008.12907.x | null | astro-ph | null | JHKs near-infrared photometry of stars in the Phoenix dwarf galaxy is
presented and discussed. Combining these data with the optical photometry of
Massey et al. allows a rather clean separation of field stars from Phoenix
members. The discovery of a Mira variable (P = 425 days), which is almost
certainly a carbon star, leads to an estimate of the distance modulus of
23.10+/-0.18 that is consistent with other estimates and indicates the
existence of a significant population of age ~2 Gyr. The two carbon stars of Da
Costa have M{bol} = -3.8 and are consistent with belonging to a population of
similar age; some other possible members of such a population are identified. A
Da Costa non-carbon star is Delta Ks~0.3 mag brighter than these two carbon
stars. It may be an AGB star of the dominant old population. The nature of
other stars lying close to it in the Ks,(J-Ks) diagram needs studying.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 09:15:43 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Menzies",
"John",
""
],
[
"Feast",
"Michael",
""
],
[
"Whitelock",
"Patricia",
""
],
[
"Olivier",
"Enrico",
""
],
[
"Matsunaga",
"Noriyuki",
""
],
[
"Da Costa",
"Gary",
""
]
] | [
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] |
801.0039 | Mikio Morii | M. Morii, S. Kitamoto, N. Shibazaki, D. Takei, N. Kawai, M. Arimoto,
M. Ueno, Y. Terada, T. Kohmura, S. Yamauchi | Suzaku Observation of AXP 1E 1841-045 in SNR Kes 73 | To appear in the proceedings of the "40 Years of Pulsars: Millisecond
Pulsars, Magnetars and More" conference, held 12-17 August 2007, in Montreal
QC (AIP, in press, eds: C. Bassa, Z. Wang, A. Cumming, V. Kaspi) | AIP Conf.Proc.983:268-270,2008 | 10.1063/1.2900159 | null | astro-ph | null | Anomalous X-ray pulsars (AXPs) are thought to be magnetars, which are neutron
stars with ultra strong magnetic field of $10^{14}$-- $10^{15}$ G. Their energy
spectra below $\sim$10 keV are modeled well by two components consisting of a
blackbody (BB) ($\sim$0.4 keV) and rather steep power-law (POW) function
(photon index $\sim$2-4). Kuiper et al.(2004) discovered hard X-ray component
above $\sim$10 keV from some AXPs. Here, we present the Suzaku observation of
the AXP 1E 1841-045 at the center of supernova remnant Kes 73. By this
observation, we could analyze the spectrum from 0.4 to 50 keV at the same time.
Then, we could test whether the spectral model above was valid or not in this
wide energy range. We found that there were residual in the spectral fits when
fit by the model of BB + POW. Fits were improved by adding another BB or POW
component. But the meaning of each component became ambiguous in the
phase-resolved spectroscopy. Alternatively we found that NPEX model fit well
for both phase-averaged spectrum and phase-resolved spectra. In this case, the
photon indices were constant during all phase, and spectral variation seemed to
be very clear. This fact suggests somewhat fundamental meaning for the emission
from magnetars.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 09:21:25 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Morii",
"M.",
""
],
[
"Kitamoto",
"S.",
""
],
[
"Shibazaki",
"N.",
""
],
[
"Takei",
"D.",
""
],
[
"Kawai",
"N.",
""
],
[
"Arimoto",
"M.",
""
],
[
"Ueno",
"M.",
""
],
[
"Terada",
"Y.",
""
],
[
"Kohmura",
"T.",
""
],
[
"Yamauchi",
"S.",
""
]
] | [
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] |
801.004 | Tao Wang | Miao Li, Tower Wang, Yi Wang | General Single Field Inflation with Large Positive Non-Gaussianity | 27 pages, 3 figure; final version published in JCAP | JCAP 0803:028,2008 | 10.1088/1475-7516/2008/03/028 | USTC-ICTS-07-25 | astro-ph gr-qc hep-th | null | Recent analysis of the WMAP three year data suggests
$f_{NL}^{local}\simeq86.8$ in the WMAP convention. It is necessary to make sure
whether general single field inflation can produce a large positive $f_{NL}$
before turning to other scenarios. We give some examples to generate a large
positive $f_{NL}^{equil}$ in general single field inflation. Our models are
different from ghost inflation. Due to the appearance of non-conventional
kinetic terms, $f_{NL}^{equil}\gg1$ can be realized in single field inflation.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 09:33:13 GMT"
},
{
"version": "v2",
"created": "Wed, 9 Jan 2008 15:52:50 GMT"
},
{
"version": "v3",
"created": "Sat, 29 Mar 2008 13:35:18 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Li",
"Miao",
""
],
[
"Wang",
"Tower",
""
],
[
"Wang",
"Yi",
""
]
] | [
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] |
801.0041 | Nick Kersting | P. Huang, N. Kersting, H.H. Yang | Extracting MSSM Masses From Heavy Higgs Decays to Four Leptons at the
LHC | version to be published in PRD | Phys.Rev.D77:075011,2008 | 10.1103/PhysRevD.77.075011 | SCUPHY-TH-08001 | hep-ph | null | It is well known that finding and measuring the masses of particles in the
Minimal Supersymmetric Standard Model (MSSM) at the Large Hadron Collider (LHC)
may be possible using invariant mass distributions in exclusive channels
containing n_j jets and n_l leptons. We perform this analysis for the (n_j,
n_l) = (0,4) decay of heavy Higgs bosons to neutralinos, pp \to H/A \to \chi_i
\chi_j (i,j =2,3,4), which then decay to four leptons and two lightest
neutralinos \chi_1 via on-shell sleptons. When i=j and the sleptons are
degenerate, our Monte Carlo study shows that the LHC will be able to measure
the Higgs and relevant neutralino and slepton masses to roughly
30%; however, if one of these is already known within 5%, the other three may
be found to equal or better accuracy. This would provide the first accurate
measurement of the H/A mass via invariant mass distribution techniques.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:12:19 GMT"
},
{
"version": "v2",
"created": "Thu, 10 Jan 2008 18:03:07 GMT"
},
{
"version": "v3",
"created": "Tue, 11 Mar 2008 13:55:55 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Huang",
"P.",
""
],
[
"Kersting",
"N.",
""
],
[
"Yang",
"H. H.",
""
]
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801.0042 | Michael Skeide | B. V. Rajarama Bhat, Volkmar Liebscher, Michael Skeide | A Problem of Powers and the Product of Spatial Product Systems | Contribution to the proceedings of nthe 28th Quantum Probability
Confernece, Sep 2-8, 2007, in Guanajuato, Mexico | Number XXIII in Quantum Probability and White Noise Analysis,
pages 93-106. World Scientific, 2008 | null | null | math.OA | null | In the 2002 AMS summer conference on ``Advances in Quantum Dynamics'' in
Mount Holyoke Robert Powers proposed a sum operation for spatial E0-semigroups.
Still during the conference Skeide showed that the Arveson system of that sum
is the product of spatial Arveson systems. This product may but need not
coincide with the tensor product of Arveson systems. The Powers sum of two
spatial E0-semigroups is, therefore, up to cocycle conjugacy Skeide's product
of spatial noises.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 09:59:46 GMT"
}
] | 2013-11-20T00:00:00 | [
[
"Bhat",
"B. V. Rajarama",
""
],
[
"Liebscher",
"Volkmar",
""
],
[
"Skeide",
"Michael",
""
]
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801.0043 | Dmitry Makarov | D. Makarov, I. Karachentsev | Dark Matter Problem in the Local Supercluster | 2 pages, 3 figures. To appear in the proceedings of the IAU Symposium
244 "Dark Galaxies and Lost Baryons", Cardiff 25-29 June 2007, eds. J.I.
Davies & M.J. Disney | null | 10.1017/S1743921307014329 | null | astro-ph | null | The Local Supercluster is an ideal laboratory to study distribution of
luminous and dark matter in the nearby Universe. The 1100 small groups have
been selected using algorithm based on assumption that a total energy of
physical pair of galaxies must be negative. The properties of the groups have
been considered.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 10:30:17 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Makarov",
"D.",
""
],
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"Karachentsev",
"I.",
""
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] |
801.0044 | Vladimir Burdyuzha | V.Burdyuzha, G.Vereshkov, J.Pacheco | Cosmology of gravitational vacuum | 8 pages, Preprint of Lebedev Physical Institute No 9, 2003 | null | null | null | gr-qc | null | Production of gravitational vacuum defects and their contribution to the
energy density of our Universe are discussed. These topological microstructures
(defects) could be produced in the result of creation of the Universe from
"nothing" when a gravitational vacuum condensate has appeared. They must be
isotropically distributed over the isotropic expanding Universe. After Universe
inflation these microdefects are smoothed, stretched and broken up. A part of
them could survive and now they are perceived as the structures of Lambda-term
and an unclustered dark matter. It is shown that the parametrization
noninvariance of the Wheeler-De Witt equation can be used to describe
phenomenologically vacuum topological defects of different dimensions
(worm-holes, micromembranes, microstrings and monopoles). The mathematical
illustration of these processes may be the spontaneous breaking of the local
Lorentz-invariance of the quasi-classical equations of gravity. Probably the
gravitational vacuum condensate has fixed time in our Universe. Besides,
3-dimensional topological defects renormalize Lambda-term.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 10:45:45 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Burdyuzha",
"V.",
""
],
[
"Vereshkov",
"G.",
""
],
[
"Pacheco",
"J.",
""
]
] | [
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801.0045 | Peter Zeiler Skands | B. C. Allanach, C. Balazs, G. Belanger, M. Bernhardt, F. Boudjema, D.
Choudhury, K. Desch, U. Ellwanger, P. Gambino, R. Godbole, T. Goto, J.
Guasch, M. Guchait, T. Hahn, S. Heinemeyer, C. Hugonie, T. Hurth, S. Kraml
S.Kreiss, J. Lykken, F. Moortgat, S. Moretti, S. Penaranda, T. Plehn, W.
Porod, A. Pukhov, P. Richardson, M. Schumacher, L. Silvestrini, P. Skands, P.
Slavich, M. Spira, G. Weiglein, P. Wienemann | SUSY Les Houches Accord 2 | 35 pages | Comp.Phys.Commun.180:8-25,2009 | 10.1016/j.cpc.2008.08.004 | FERMILAB-PUB-07-036-T, SLAC-PUB-12765, CERN-PH-TH/2007-148,
DAMTP-2007-76, Edinburgh 2007/31, KEK-TH-1170,LAPTH-1204/07, LPT-ORSAY-07-81,
SHEP-07-13 | hep-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Supersymmetry Les Houches Accord (SLHA) provides a universal set of
conventions for conveying spectral and decay information for supersymmetry
analysis problems in high energy physics. Here, we propose extensions of the
conventions of the first SLHA to include various generalisations: the minimal
supersymmetric standard model with violation of CP, R-parity, and flavour, as
well as the simplest next-to-minimal model.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 10:53:21 GMT"
},
{
"version": "v2",
"created": "Tue, 23 Sep 2008 15:22:08 GMT"
},
{
"version": "v3",
"created": "Sun, 22 Nov 2009 23:01:24 GMT"
}
] | 2009-11-23T00:00:00 | [
[
"Allanach",
"B. C.",
""
],
[
"Balazs",
"C.",
""
],
[
"Belanger",
"G.",
""
],
[
"Bernhardt",
"M.",
""
],
[
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"F.",
""
],
[
"Choudhury",
"D.",
""
],
[
"Desch",
"K.",
""
],
[
"Ellwanger",
"U.",
""
],
[
"Gambino",
"P.",
""
],
[
"Godbole",
"R.",
""
],
[
"Goto",
"T.",
""
],
[
"Guasch",
"J.",
""
],
[
"Guchait",
"M.",
""
],
[
"Hahn",
"T.",
""
],
[
"Heinemeyer",
"S.",
""
],
[
"Hugonie",
"C.",
""
],
[
"Hurth",
"T.",
""
],
[
"Kreiss",
"S. Kraml S.",
""
],
[
"Lykken",
"J.",
""
],
[
"Moortgat",
"F.",
""
],
[
"Moretti",
"S.",
""
],
[
"Penaranda",
"S.",
""
],
[
"Plehn",
"T.",
""
],
[
"Porod",
"W.",
""
],
[
"Pukhov",
"A.",
""
],
[
"Richardson",
"P.",
""
],
[
"Schumacher",
"M.",
""
],
[
"Silvestrini",
"L.",
""
],
[
"Skands",
"P.",
""
],
[
"Slavich",
"P.",
""
],
[
"Spira",
"M.",
""
],
[
"Weiglein",
"G.",
""
],
[
"Wienemann",
"P.",
""
]
] | [
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801.0046 | H. Geiges | Hansj\"org Geiges | A contact geometric proof of the Whitney-Graustein theorem | 7 pages | Enseign. Math. (2) 55 (2009), 93-102 | null | null | math.GT math.SG | null | The Whitney-Graustein theorem states that regular closed curves in the
2-plane are classified, up to regular homotopy, by their rotation number. Here
we give a simple proof based on contact geometry.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 10:57:08 GMT"
}
] | 2009-06-29T00:00:00 | [
[
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"Hansjörg",
""
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801.0047 | Vladimir Burdyuzha | V.Burdyuzha | When did vacuum energy of the Universe become cosmological constant? | 3 pages. submitted to Phys. Letters | null | null | null | hep-ph | null | A quark-gluon phase transition in the Universe is researched after which
vacuum (dark) energy has hardened and become cosmological constant. Before this
a vacuum component of the Universe was changing by jumps during phase
transitions since vacuum condensates of quantum fields carried a negative
contribution in its positive density energy. This quintessence period of the
Universe life took place during the first parts of a second when our Universe
was losing high symmetry. Using Zel'dovich's formula the modern value of vacuum
energy is also calculated. It is shown that a quantum chromodynamical vacuum
which is characterized by pseudogoldstone bosons existed definitely when
temperature of the Universe was T~150 MeV. Therefore there is a large
probability that dark energy is vacuum energy.
| [
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801.0048 | Keith S Cover | Keith S Cover | A robust and reliable method for detecting signals of interest in
multiexponential decays | 23 pages with 8 figures | Rev Sci Instrum 79:055106, 2008 | 10.1063/1.2930799 | null | physics.gen-ph physics.data-an physics.med-ph | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The concept of rejecting the null hypothesis for definitively detecting a
signal was extended to relaxation spectrum space for multiexponential
reconstruction. The novel test was applied to the problem of detecting the
myelin signal, which is believed to have a time constant below 40ms, in T2
decays from MRI's of the human brain. It was demonstrated that the test allowed
the detection of a signal in a relaxation spectrum using only the information
in the data, thus avoiding any potentially unreliable prior information. The
test was implemented both explicitly and implicitly for simulated T2
measurements. For the explicit implementation, the null hypothesis was that a
relaxation spectrum existed that had no signal below 40ms and that was
consistent with the T2 decay. The confidence level by which the null hypothesis
could be rejected gave the confidence level that there was signal below the
40ms time constant. The explicit implementation assessed the test's performance
with and without prior information where the prior information was the
nonnegative relaxation spectrum assumption. The test was also implemented
implicitly with a data conserving multiexponential reconstruction algorithm
that used left invertible matrices and that has been published previously. The
implicit and explicit implementations demonstrated similar characteristics in
detecting the myelin signal in both the simulated and experimental T2 decays,
providing additional evidence to support the close link between the two tests.
[Full abstract in paper]
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801.0049 | H. Geiges | Hansj\"org Geiges | Horizontal loops in Engel space | 4 pages | Math. Ann. 342 (2008), 291-296 | null | null | math.GT math.SG | null | A simple proof is given of the following result first observed by J. Adachi:
embedded circles tangent to the standard Engel structure on Euclidean 4-space
are classified, up to isotopy via such embeddings, by their rotation number.
| [
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801.005 | Takeru Ken Suzuki | Takeru K. Suzuki | Evolution of Alfven wave-driven solar winds to red giants | 7 pages, 4 figures embedded, a contribution talk in IAUSymp 247 | null | 10.1017/S1743921308014889 | null | astro-ph | null | In this talk we introduce our recent results of global 1D MHD simulations for
the acceleration of solar and stellar winds. We impose transverse photospheric
motions corresponding to the granulations, which generate outgoing Alfven
waves. The Alfven waves effectively dissipate by 3-wave coupling and direct
mode conversion to compressive waves in density-stratified atmosphere. We show
that the coronal heating and the solar wind acceleration in the open magnetic
field regions are natural consequence of the footpoint fluctuations of the
magnetic fields at the surface (photosphere). We also discuss winds from red
giant stars driven by \Alfven waves, focusing on different aspects from the
solar wind. We show that red giants wind are highly structured with
intermittent magnetized hot bubbles embedded in cool chromospheric material.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 11:13:52 GMT"
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] | 2009-11-13T00:00:00 | [
[
"Suzuki",
"Takeru K.",
""
]
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801.0051 | Giedrius Alkauskas | Giedrius Alkauskas | The moments of Minkowski question mark function: the dyadic period
function | 26 pages, 1 figure (submitted). The current paper is an essential
revision of the previous version (September 2006-May 2007). Some results from
an article arXiv:0801.0054 were merged into a new version | Glasgow Mathematical Journal 52 (1) (2010), 41-64. | 10.1017/S0017089509990152 | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | The Minkowski question mark function ?(x) arises as a real distribution of
rationals in the Farey tree. We examine the generating function of moments of
?(x). It appears that the generating function is a direct dyadic analogue of
period functions for Maass wave forms and it is defined in the cut plane
C(0,infinity). The exponential generating function satisfies the integral
equation with kernel being the Bessel function. The solution of this integral
equation leads to the definition of dyadic eigenfunctions, arising from a
certain Hilbert-Schmidt operator. Finally, we describe p-adic distribution of
rationals in the Stern-Brocot tree. Surprisingly, the Eisenstein series G_1(z)
does manifest in both real and p-adic cases.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 13:32:05 GMT"
},
{
"version": "v2",
"created": "Mon, 13 Oct 2008 10:17:13 GMT"
}
] | 2009-12-05T00:00:00 | [
[
"Alkauskas",
"Giedrius",
""
]
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801.0052 | Vladimir Burdyuzha | V.Burdyuzha, G.Vereshkov | Cosmology of Vacuum | 8 pages | Astrophys.Space Sci.305:235-239,2006 | 10.1007/s10509-006-9197-6 | null | astro-ph | null | Shortly the vacuum component of the Universe from the geometry point of view
and from the point of view of the standard model of physics of elementary
particles is discussed. Some arguments are given to the calculated value of the
cosmological constant (Zeldovich approximation). A new component of space
vacuum (the gravitational vacuum condensate) is involved the production of
which has fixed time in our Universe. Also the phenomenon of vacuum
selforganization must be included in physical consideration of the Universe
evolution.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 11:18:12 GMT"
}
] | 2009-12-15T00:00:00 | [
[
"Burdyuzha",
"V.",
""
],
[
"Vereshkov",
"G.",
""
]
] | [
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801.0053 | Sangara narayanan M V Dr | Richa Sethi and M. V. Sangaranarayanan | Non-Equilibrium Thermodynamics formalism for Marcus cross-exchange
electron transfer reaction rates | 9 pages | null | null | null | physics.chem-ph | null | The cross-exchange electron transfer expression arising from Marcus theory is
deduced using Onsager's non-equilibrium Thermodynamics formalism.
| [
{
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"created": "Sat, 29 Dec 2007 11:21:47 GMT"
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] | 2008-01-03T00:00:00 | [
[
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"Richa",
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801.0054 | Giedrius Alkauskas | Giedrius Alkauskas, J\"orn Steuding | Statistical properties of the Calkin--Wilf tree: real an p-adic
distribution | 19 pages (preprint). Some results of this paper are already
well-known, some (p-adic distribution and properties of the moments) are new
and will be merged into paper arXiv:0801.0051 | null | null | null | math.NT | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We examine statistical properties of the Calkin--Wilf tree and give
number-theoretical applications.
| [
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{
"version": "v2",
"created": "Tue, 23 Sep 2008 11:22:23 GMT"
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] | 2008-09-23T00:00:00 | [
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801.0055 | Denis Krotov | Denis Krotov (Sobolev Institute of Mathematics, Novosibirsk, Russia),
Vladimir Potapov (Sobolev Institute of Mathematics, Novosibirsk, Russia) | On connection between reducibility of an n-ary quasigroup and that of
its retracts | English: 19pp; Russian: 20pp. V.2: case n=4 added, Russian
translation added, title changed (old title: On reducibility of n-ary
quasigroups, II) | Discrete Math. 311(1) 2011, 58-66 | 10.1016/j.disc.2010.09.023 | null | math.CO math.GR | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | An $n$-ary operation $Q:S^n\to S$ is called an $n$-ary quasigroup of order
$|S|$ if in the equation $x_0=Q(x_1,...,x_n)$ knowledge of any $n$ elements of
$x_0,...,x_n$ uniquely specifies the remaining one. An $n$-ary quasigroup $Q$
is (permutably) reducible if
$Q(x_1,...,x_n)=P(R(x_{s(1)},...,x_{s(k)}),x_{s(k+1)},...,x_{s(n)})$ where $P$
and $R$ are $(n-k+1)$-ary and $k$-ary quasigroups, $s$ is a permutation, and
$1<k<n$. An $m$-ary quasigroup $R$ is called a retract of $Q$ if it can be
obtained from $Q$ or one of its inverses by fixing $n-m>0$ arguments.
We show that every irreducible $n$-ary quasigroup has an irreducible
$(n-1)$-ary or $(n-2)$-ary retract; moreover, if the order is finite and prime,
then it has an irreducible $(n-1)$-ary retract. We apply this result to show
that all $n$-ary quasigroups of order 5 or 7 whose all binary retracts are
isotopic to $Z_5$ or $Z_7$ are reducible for $n>3$.
Keywords: $n$-ary quasigroups, retracts, reducibility, latin hypercubes
| [
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{
"version": "v2",
"created": "Wed, 8 Jun 2011 03:09:00 GMT"
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] | 2011-06-09T00:00:00 | [
[
"Krotov",
"Denis",
"",
"Sobolev Institute of Mathematics, Novosibirsk, Russia"
],
[
"Potapov",
"Vladimir",
"",
"Sobolev Institute of Mathematics, Novosibirsk, Russia"
]
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] |
801.0056 | Giedrius Alkauskas | Giedrius Alkauskas | Generating and zeta functions, structure, spectral and analytic
properties of the moments of Minkowski question mark function | 34 pages, 4 figures (submitted 01/2008). Minor revisions and typos. A
graph of dyadic zeta function on the critical line was added. Theorem 3 was
strengthened | Involve, a Journal of Mathematics Vol. 2 (2009), No. 2, 121-159 | 10.2140/involve.2009.2.121 | null | math.NT | null | In this paper we are interested in moments of Minkowski question mark
function ?(x). It appears that, to certain extent, the results are analogous to
the results obtained for objects associated with Maass wave forms: period
functions, L-series, distributions, spectral properties. These objects can be
naturally defined for ?(x) as well. Despite the fact that there are various
nice results about the nature of ?(x), these investigations are mainly
motivated from the perspective of metric number theory, Hausdorff dimension,
singularity and generalizations. In this work it is shown that analytic and
spectral properties of various integral transforms of ?(x) do reveal
significant information about the question mark function. We prove asymptotic
and structural results about the moments, calculate certain integrals involving
?(x), define an associated zeta function, generating functions, Fourier series,
and establish intrinsic relations among these objects. At the end of the paper
it is shown that certain object associated with ?(x) establish a bridge between
realms of imaginary and real quadratic irrationals.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 12:01:49 GMT"
},
{
"version": "v2",
"created": "Tue, 27 May 2008 14:37:57 GMT"
}
] | 2010-11-17T00:00:00 | [
[
"Alkauskas",
"Giedrius",
""
]
] | [
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] |
801.0057 | Alexander Flanchik B | V.M.Kontorovich and A.B.Flanchik | On the connection between gamma and radio radiation spectra in pulsars | 15 pages, 3 figures, Russian version accepted to JETP, partly
published in JETP Letters, Vol. 85, #6 (2007) | J.Exp.Theor.Phys.106:869-877,2008 | 10.1134/S106377610805004X | null | astro-ph | null | The model of pulsar radio emission is discussed in which a coherent radio
emis-sion is excited in a vacuum gap above polar cap of neutron star. Pulsar X
and gamma radiation are considered as the result of low-frequency radio
emission inverse Comp-ton scattering on ultra relativistic electrons
accelerated in the gap. The influence of the pulsar magnetic field on Compton
scattering is taken into account. The relation of radio and gamma radiation
spectra has been found in the framework of the model.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 11:46:42 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Kontorovich",
"V. M.",
""
],
[
"Flanchik",
"A. B.",
""
]
] | [
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] |
801.0058 | Olli Punkkinen | Olli Punkkinen, Ali Naji, Rudolf Podgornik, Ilpo Vattulainen, and
Per-Lyngs Hansen | Ionic Cloud Distribution close to a Charged Surface in the Presence of
Salt | 6 pages, 2 figures | Europhys. Lett. 82, 48001 (2008) | 10.1209/0295-5075/82/48001 | null | physics.bio-ph cond-mat.soft | null | Despite its importance, the understanding of ionic cloud distribution close
to a charged macroion under physiological salt conditions has remained very
limited especially for strongly coupled systems with, for instance, multivalent
counterions. Here we present a formalism that predicts both counterion and
coion distributions in the vicinity of a charged macroion for an arbitrary
amount of added salt and in both limits of mean field and strong coupling. The
distribution functions are calculated explicitly for ions next to an infinite
planar charged wall. We present a schematic phase diagram identifying different
physical regimes in terms of electrostatic coupling parameter and bulk salt
concentration.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 11:49:47 GMT"
}
] | 2009-05-24T00:00:00 | [
[
"Punkkinen",
"Olli",
""
],
[
"Naji",
"Ali",
""
],
[
"Podgornik",
"Rudolf",
""
],
[
"Vattulainen",
"Ilpo",
""
],
[
"Hansen",
"Per-Lyngs",
""
]
] | [
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] |
801.0059 | Ron Peled | Ron Peled, Ariel Yadin and Amir Yehudayoff | The Maximal Probability that k-wise Independent Bits are All 1 | 30 pages, 4 figures. This version adds an appendix with short proofs
of some of the cited results | Random Struct. Alg., 38, 502-525, 2011 | null | null | math.PR math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | A k-wise independent distribution on n bits is a joint distribution of the
bits such that each k of them are independent. In this paper we consider k-wise
independent distributions with identical marginals, each bit has probability p
to be 1. We address the following question: how high can the probability that
all the bits are 1 be, for such a distribution? For a wide range of the
parameters n,k and p we find an explicit lower bound for this probability which
matches an upper bound given by Benjamini et al., up to multiplicative factors
of lower order. The question we investigate can be seen as a relaxation of a
major open problem in error-correcting codes theory, namely, how large can a
linear error correcting code with given parameters be?
The question is a type of discrete moment problem, and our approach is based
on showing that bounds obtained from the theory of the classical moment problem
provide good approximations for it. The main tool we use is a bound controlling
the change in the expectation of a polynomial after small perturbation of its
zeros.
| [
{
"version": "v1",
"created": "Mon, 31 Dec 2007 02:52:17 GMT"
},
{
"version": "v2",
"created": "Thu, 3 Jan 2008 00:56:55 GMT"
},
{
"version": "v3",
"created": "Sun, 31 Jul 2011 14:58:06 GMT"
}
] | 2011-08-02T00:00:00 | [
[
"Peled",
"Ron",
""
],
[
"Yadin",
"Ariel",
""
],
[
"Yehudayoff",
"Amir",
""
]
] | [
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] |
801.006 | Dibyendu Roy | N. Kumar | Deflection of Ultra Slow Light by Earth Gravity on Laboratory Length
Scale | 8 pages | EPL, 82 (2008) 60002 | 10.1209/0295-5075/82/60002 | null | physics.optics | null | The high speed of light in vacuo together with the weakness of Earth gravity
rules out any experimental detection of gravitational deflection of light on
the laboratory length scale. Recent advances in coherent optics that produce
ultra slow light in highly dispersive media with the group velocities down to
~102 ms-1, or even less, however, open up this possibility. In this work, we
present a theoretical study for a possible laboratory observation of the
deflection of such an ultra slow light in the highly dispersive medium under
Earth gravity. Our general relativistic calculation is based on the Gordon
optical metric modified so as to include dispersion. The calculated linear
vertical deflection turns out to be ~0.1 mm for a horizontal traversal of 0.1
m, and a group speed vg ~ 102 ms-1. Experimental realizability and some
conceptual points involved will be briefly discussed.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 12:36:16 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"Kumar",
"N.",
""
]
] | [
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] |
801.0061 | Danilo Silva | Danilo Silva, Frank R. Kschischang | Security for Wiretap Networks via Rank-Metric Codes | 5 pages, to be published at the 2008 IEEE International Symposium on
Information Theory | null | 10.1109/ISIT.2008.4594971 | null | cs.IT cs.CR math.IT | null | The problem of securing a network coding communication system against a
wiretapper adversary is considered. The network implements linear network
coding to deliver $n$ packets from source to each receiver, and the wiretapper
can eavesdrop on $\mu$ arbitrarily chosen links. A coding scheme is proposed
that can achieve the maximum possible rate of $k=n-\mu$ packets that are
information-theoretically secure from the adversary. A distinctive feature of
our scheme is that it is universal: it can be applied on top of any
communication network without requiring knowledge of or any modifications on
the underlying network code. In fact, even a randomized network code can be
used. Our approach is based on Rouayheb-Soljanin's formulation of a wiretap
network as a generalization of the Ozarow-Wyner wiretap channel of type II.
Essentially, the linear MDS code in Ozarow-Wyner's coset coding scheme is
replaced by a maximum-rank-distance code over an extension of the field in
which linear network coding operations are performed.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 12:50:14 GMT"
},
{
"version": "v2",
"created": "Fri, 2 May 2008 02:45:13 GMT"
}
] | 2016-11-17T00:00:00 | [
[
"Silva",
"Danilo",
""
],
[
"Kschischang",
"Frank R.",
""
]
] | [
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] |
801.0062 | Alexandre Barabanov | A.F. Barabanov, A.M. Belemuk, L.A. Maksimov | On the Kinetic Equation and Electrical Resistivity in Systems with
Strong Spin- Hole Interaction | 6 pages, 3 figures | JETP Lett. 86, 321- 327 (2007) | null | null | cond-mat.str-el cond-mat.supr-con | null | The problem of constructing the kinetic equation with the description of
motion of a hole in systems with strong spin- hole interaction (such as high-
temperature superconductors) in terms of the spin polaron has been considered
in the framework of the regular antiferromagnetic $s-d$ model. It has been
shown by the example of the electrical resistivity that kinetics is determined
by the properties of the bands of the spin polaron (rather than "bar hole") and
their quasiparticle residues $Z_{k}$. The cases of low and optimal doping of
the $CuO_{2}$ plane have been considered. It has been shown that the
rearrangement of the spectrum of the lower polaron band, as well as the strong
doping dependence of the quasiparticle residues $Z_{k}$ is decisive in the
unified consideration of these cases.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 13:06:13 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Barabanov",
"A. F.",
""
],
[
"Belemuk",
"A. M.",
""
],
[
"Maksimov",
"L. A.",
""
]
] | [
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] |
801.0063 | Hvedri Inassaridze | Jiri Rosicky and Walter Tholen | Factorization, Fibration and Torsion | To be published in "Journal of homotopy and Related Structures" | null | null | null | math.AT | null | A simple definition of torsion theory is presented, as a factorization system
with both classes satisfying the 3--for--2 property. Comparisons with the
traditional notion are given, as well as connections with the notions of
fibration and of weak factorization system, as used in abstract homotopy
theory.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 13:13:49 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Rosicky",
"Jiri",
""
],
[
"Tholen",
"Walter",
""
]
] | [
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] |
801.0064 | Alessandro Marconi | Giovanna De Francesco (1), Alessandro Capetti (1), Alessandro Marconi
(2) ((1)INAF - Osservatorio Astronomico di Torino, Italy, (2) Dipartimento di
Astronomia e Scienza dello Spazio, Universit\`a di Firenze, Italy) | Measuring supermassive black holes with gas kinematics - II. The LINERs
IC 989, NGC 5077, and NGC 6500 | Accepted for publication in A&A | null | 10.1051/0004-6361:20078570 | null | astro-ph | null | We present results from a kinematical study of the gas in the nucleus of a
sample of three LINER galaxies, obtained from archival HST/STIS long-slit
spectra. We found that, while for the elliptical galaxy NGC 5077, the observed
velocity curves are consistent with gas in regular rotation around the galaxy's
center, this is not the case for the two remaining objects. By modeling the
surface brightness distribution and rotation curve from the emission lines in
NGC 5077, we found that the observed kinematics of the circumnuclear gas can be
accurately reproduced by adding to the stellar mass component a black hole mass
of M_bh = 6.8 (-2.8,+4.3) 10**8 M_sun (uncertainties at a 1 sigma level); the
radius of its sphere of influence (R_sph ~ 0".34) is well-resolved at the HST
resolution. The BH mass estimate in NGC 5077 is in fairly good agreement with
both the M_bh-M_bul (with an upward scatter of ~ 0.4 dex) and M_bh-sigma
correlations (with an upward scatter of 0.5 dex in the Tremaine et al. form and
essentially no scatter using the Ferrarese et al. form) and provides further
support for the presence of a connection between the ``residuals'' from the
M_bh-sigma correlation and the bulge effective radius. This indicates the
presence of a black hole's ``fundamental plane'' in the sense that a
combination of at least sigma and R_e drives the correlations between M_bh and
host bulge properties.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:02:26 GMT"
}
] | 2009-11-13T00:00:00 | [
[
"De Francesco",
"Giovanna",
""
],
[
"Capetti",
"Alessandro",
""
],
[
"Marconi",
"Alessandro",
""
]
] | [
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] |
801.0065 | Miguel Pi\~nar | Lidia Fernandez, Teresa E. Perez, Miguel A. Pinar, Yuan Xu | Krall--type Orthogonal Polynomials in several variables | 10 pages | null | null | null | math.CA | null | For a bilinear form obtained by adding a Dirac mass to a positive definite
moment functional in several variables, explicit formulas of orthogonal
polynomials are derived from the orthogonal polynomials associated with the
moment functional. Explicit formula for the reproducing kernel is also derived
and used to establish certain inequalities for classical orthogonal
polynomials.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 13:59:26 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Fernandez",
"Lidia",
""
],
[
"Perez",
"Teresa E.",
""
],
[
"Pinar",
"Miguel A.",
""
],
[
"Xu",
"Yuan",
""
]
] | [
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] |
801.0066 | Alexander Orlov Yur'evich | J.W. van de Leur and A. Yu. Orlov | Random turn walk on a half line with creation of particles at the origin | 23 pages, 2 figures, has been reported on the workshop "Random and
integrable models in mathematics and physics" in Brussel, September 11-15,
2007 | null | null | null | cond-mat.dis-nn cond-mat.other math-ph math.MP math.PR nlin.SI | null | We consider a version of random motion of hard core particles on the
semi-lattice $ 1, 2, 3,...$, where in each time instant one of three possible
events occurs, viz., (a) a randomly chosen particle hops to a free neighboring
site, (b) a particle is created at the origin (namely, at site 1) provided that
site 1 is free and (c) a particle is eliminated at the origin (provided that
the site 1 is occupied). Relations to the BKP equation are explained. Namely,
the tau functions of two different BKP hierarchies provide generating functions
respectively (I) for transition weights between different particle
configurations and (II) for an important object: a normalization function which
plays the role of the statistical sum for our non-equilibrium system. As an
example we study a model where the hopping rate depends on two parameters ($r$
and $\beta$). For time $\time\to\infty$ we obtain the asymptotic configuration
of particles obtained from the initial empty state (the state without
particles) and find an analog of the first order transition at $\beta=1$.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:19:17 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"van de Leur",
"J. W.",
""
],
[
"Orlov",
"A. Yu.",
""
]
] | [
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] |
801.0067 | Marcelo Botta Cantcheff | Marcelo Botta Cantcheff | Einstein-Cartan formulation of Chern-Simons Lorentz-violating Gravity | Final version | Phys.Rev.D78:025002,2008 | 10.1103/PhysRevD.78.025002 | null | hep-th | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We consider a modification of the standard Einstein theory in four
dimensions, alternative to R. Jackiw and S.-Y. Pi, Phys. Rev. D 68, 104012
(2003), since it is based on the first-order (Einstein-Cartan) approach to
General Relativity, whose gauge structure is manifest. This is done by
introducing an additional topological term in the action which becomes a
Lorentz-violating term by virtue of the dependence of the coupling on the
space-time point. We obtain a condition on the solutions of the Einstein
equations, such that they persist in the deformed theory, and show that the
solutions remarkably correspond to the classical solutions of a collection of
independent 2+1-d (topological) Chern-Simons gravities. Finally, we study the
relation with the standard second-order approach and argue that they both
coincide to leading order in the modulus of the Lorentz-violating vector field.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:27:57 GMT"
},
{
"version": "v2",
"created": "Thu, 17 Apr 2008 13:01:59 GMT"
},
{
"version": "v3",
"created": "Thu, 1 May 2008 14:43:24 GMT"
},
{
"version": "v4",
"created": "Fri, 18 Jul 2008 16:25:29 GMT"
}
] | 2008-11-26T00:00:00 | [
[
"Cantcheff",
"Marcelo Botta",
""
]
] | [
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801.0068 | Jean-Philippe Uzan | Jean-Philippe Uzan, Chris Clarkson, and George F.R. Ellis | Time drift of cosmological redshifts as a test of the Copernican
principle | 4 pages. Version matching the published text in PRL | Phys.Rev.Lett.100:191303,2008 | 10.1103/PhysRevLett.100.191303 | null | astro-ph gr-qc | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | We present the time drift of the cosmological redshift in a general
spherically symmetric spacetime. We demonstrate that its observation would
allow us to test the Copernican principle and so determine if our universe is
radially inhomogeneous, an important issue in our understanding of dark energy.
In particular, when combined with distance data, this extra observable allows
one to fully reconstruct the geometry of a spacetime describing a spherically
symmetric under-dense region around us, purely from background observations.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:36:16 GMT"
},
{
"version": "v2",
"created": "Wed, 23 Jul 2008 16:20:50 GMT"
}
] | 2009-06-23T00:00:00 | [
[
"Uzan",
"Jean-Philippe",
""
],
[
"Clarkson",
"Chris",
""
],
[
"Ellis",
"George F. R.",
""
]
] | [
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801.0069 | N\'eji Bettaibi | N\'eji Bettaibi and Rym H. bettaieb | $q$-Analogue of the Dunkl transform on the real line | 20 pages. to appear in Tamsui Oxford Journal Sciences | null | null | null | math.QA | null | In this paper, we consider a $q$-analogue of the Dunkl operator on
$\mathbb{R}$, we define and study its associated Fourier transform which is a
$q$-analogue of the Dunkl transform. In addition to several properties, we
establish an inversion formula and prove a Plancherel theorem for this
$q$-Dunkl transform. Next, we study the $q$-Dunkl intertwining operator and its
dual via the $q$-analogues of the Riemann-Liouville and Weyl transforms. Using
this dual intertwining operator, we provide a relation between the $q$-Dunkl
transform and the $q^2$-analogue Fourier transform introduced and studied by R.
Rubin.
| [
{
"version": "v1",
"created": "Sat, 29 Dec 2007 14:40:08 GMT"
}
] | 2008-01-03T00:00:00 | [
[
"Bettaibi",
"Néji",
""
],
[
"bettaieb",
"Rym H.",
""
]
] | [
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801.007 | Gavin Salam | Gavin P. Salam | Recent progress in defining and understanding jets | 7 pages, 4 figures. Presented at the 37th International Symposium on
Multiparticle Dynamics, Berkeley, USA, August 2007 | Acta Phys.Polon.Supp.1:455-461,2008 | null | null | hep-ph | null | This talk reviews some key developments that have taken place in
hadron-collider jet finding over the past couple of years, including: technical
advances such as the complete formulation of an infrared safe seedless cone
algorithm and fast computational approaches to sequential recombination jet
finders like the kt algorithm, together with universal methods for subtracting
pileup; progress in understanding the sensitivity of jet algorithms to the
underlying event and hadronisation; and work that exploits our knowledge of QCD
divergences to better define and predict heavy-flavour jet cross sections.
| [
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] | 2009-01-16T00:00:00 | [
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""
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801.0071 | Richard Shurtleff | Richard Shurtleff | Dual Phase Cosmic Rays | 19 pages, 2 figures, 11 problems, LaTeX | null | null | null | astro-ph hep-th | null | A calculation based on flat spacetime symmetries shows how there can be two
quantum phases. For one, extreme phase change determines a conventional
classical trajectory and four-momentum, i.e. mass times four-velocity. The
other phase occurs in an effective particle state, with the effective energy
and momentum being the rate of change of the phase with respect to time and
distance. A cosmic ray proton moves along a classical trajectory, but exists in
an effective particle state with an effective energy that depends on the local
gravitational potential. Assumptions are made so that a cosmic ray proton in an
ultra-high energy state detected near the Earth was in a much less energetic
state in interstellar space. A 300 EeV proton incident on the Earth was a 2 PeV
proton in interstellar space. The model predicts such protons are in states
with even more energy near the Sun than when near the Earth.
| [
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801.0072 | Vladimir Shevelev | Vladimir Shevelev | On the Basis Polynomials in the Theory of Permutations with Prescribed
Up-Down Structure | Revised argument in Section 13; results unchanged | null | null | null | math.CO | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ | Let $\pi=(\pi_1,\pi_2,\hdots,\pi_n)$ be permutation of the elements
$1,2,\hdots,n. $ Positive integer $k\leq2^{n-1}$ we call index of $\pi,$ if in
its binary notation as $n$-digital binary number, the 1's correspond to the
ascent points. We study behavior and properties of numbers of permutations of
$n$ elements having index $k.$
| [
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