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0704.0742.txt |@word limited:1 gu:1 forget:1 chain:10 rev:9 magnetic:3 thouless:1 results:1 leads:1 edp:1 l12:1 saminadayar:1 gn:5 consider:5 whose:1 mallet:1 paris:2 th:2 exit:1 analogous:1 applied:1 texier:8 geometrical:1 electron:17 affect:2 khmel:1 solution:1 t1:4 phase:10 small:1 tshuler:4 dis:1 correct:1 des:3 disordered:1 direct:1 l2n:1 surrounding:1 second:4 even:1 will:4 sud:2 stands:1 diffusing:1 expressed:1 reminiscent:1 experiment:2 above:2 new:1 christophe:1 ibid:1 modify:1 gilles:1 behaviour:5 explore:1 represented:1 path:2 along:1 study:2 larger:2 makes:1 named:1 scales:2 apr:1 substitution:1 altshuler:1 immediatly:1 4πdt:1 use:1 would:1 arms:6 france:1 calculation:1 therefore:4 theoretical:1 separated:3 mirlin:1 spivak:2 pierced:1 particular:1 known:3 cases:1 must:1 involve:1 account:1 mc:3 equation:1 averaged:2 following:1 modifies:1 example:2 compare:1 2ln:1 figure:7 process:1 states:1 lϕ:23 pannetier:1 s1:1 holds:1 description:1 after:1 inessential:1 st:1 discussion:1 typical:1 eron:1 over:4 experiments:2 enclose:1 its:1 τn:4 sciences:1 τl:2 2e2:2 interesting:1 τc:1 harmonics:13 affected:1 angers:1 scaling:2 effects:1 they:1 half:1 now:3 discuss:2 always:1 pothier:1 2e:1 2eh:1 l2:3 l1:3 2l:3 universit:2 interfering:1 statistiques:1 mesoscopic:1 gaussian:1 related:2 n2:3 conductance:2 wires:6 quantum:5 drude:1 extract:3 ring:18 mat:1 shown:6 network:7 since:4 crucial:1 diffusive:2 ref:5 occurs:3 math:1 localization:2 derived:1 possibility:1 reason:1 nitskii:1 definition:1 interaction:8 geometry:1 times:1 length:9 consequence:1 degeneracy:1 first:2 probability:2 number:1 another:1 array:1 precisely:1 electronic:1 given:5 temperature:4 introduction:1 system:1 eles:1 needed:1 1d:1 gives:3 dolan:1 mostly:1 l3n:1 reversed:2 prediction:1 part:2 manifestation:1 explained:1 translation:1 than:2 diffusion:6 distance:2 slowed:1 aak:3 preparation:1 aas:12 result:4 function:3 correction:4 argument:1 winding:8 responsible:1 physique:3 isolated:5 metallic:2 note:1 auerle:1 potential:2 cnrs:3 electric:2 denominator:1 most:1 connected:4 pair:1 kb:1 consequences:1 considered:4 mailly:2 order:1 electrons:3 rowe:1 physics:1 section:3 fact:1 precise:2 drastically:1 nlt:1 contacted:1 show:2 random:1 tures:1 nφ:1 networks:2 written:1 only:2 factor:2 nyquist:2 do:1 dominant:2 closed:3 dependent:1 de:2 famous:1 cannot:1 closely:1 dt:3 designates:1 gen:1 runs:1 arxiv:1 whether:1 paper:1 sensitivity:1 observed:1 depends:3 ebw:1 submitted:2 nonlocality:2 conductivity:2 wire:6 rings:24 outside:1 correctly:1 invariant:1 recently:2 nature:2 wl:6 weak:2 however:4 birge:1 efficiency:2 here:1 jetp:2 topology:1 σn:7 many:1 density:1 ln:19 aronov:5 expression:3 finds:1 comes:1 comment:1 relevant:2 cn:5 point:3 simple:4 harmonic:1 described:2 geometries:2 trajectory:2 due:7 been:6 reduction:1 damping:3 pd:5 pn:5 systems:1 suppress:2 coherence:9 modelization:1 determination:1 spin:1 present:2 case:13 exponential:4 solid:1 rectangular:1 aim:1 replaced:2 encircled:1 situation:1 characterizing:3 studied:2 averaging:1 refs:1 reads:1 cond:1 4dt:2 different:1 sensitive:2 same:2 dimensionless:2 several:1 ludwig:1 perimeter:2 independent:3 used:1 see:2 laboratoire:2 trajectories:10 moving:1 expand:1 weakly:2 off:1 well:2 spent:1 picks:1 contact:2 model:3 spend:1 distances:1 proposed:1 shape:1 distant:3 alternative:1 cut:1 infinitely:1 photons:2 except:1 esteve:1 priori:1 lett:7 theorem:1 euler:1 real:1 fluctuating:1 around:3 read:1 period:1 eorique:1 solides:1 press:1 using:1 mod:1 like:1 particle:1 flux:5 university:1 classical:2 back:1 bouchiat:1 rammal:1 understood:1 proper:2 transport:2 scale:6 umr:2 magnetoconductance:3 per:1 does:1 connecting:1 provides:1 chains:3 bn:2 each:2 perpendicular:1 eiφ:3 properties:1 o:1 cambridge:1 into:1 integral:1 functional:1 montambaux:10 down:1 included:1 references:1 accumulated:1 orsay:2 rely:1 area:1 initial:1 u1:3 long:4 width:2 low:3 way:2 editions:1 was:5 lowest:1 form:1 but:2 pierre:1 cedex:1 properly:1 made:1 embedded:1 arrays:2 hardly:1 inside:2 attached:2 below:2 limit:3 sum:1 fluctuations:1 called:1 strongly:2 constant:3 defined:1 certain:1 describe:1 oscillations:8 single:1 akkermans:2 formulation:1 bishop:1 interferences:1 regime:4 incorrect:1 again:1 compared:2 nl:2 nn:1 eq:6 whereas:1 when:3 detail:1 field:2 other:2 role:1 nr:15 nt:3 conclusion:1 cste:1 important:1 ferrier:1 dissipation:1 4d:1 dτ:1 curve:1 neighbouring:1 time:13 recalled:1 decoherence:11 requires:1 having:1 |
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0704.0745.txt |@word lognormal:1 partial:8 consider:6 chain:1 nualart:1 global:2 brownian:8 results:5 extensively:1 leads:1 c3:10 proposition:5 computation:1 expressions:2 denotes:2 payoff:5 inverse:4 depend:5 calculate:7 bx1:2 deterministic:3 tn:2 finally:2 swap:4 under:12 stochastic:20 case:2 dwti:18 supported:1 αxt:36 very:1 semidefinite:1 choice:1 every:1 fam:1 fǫ:54 continued:1 heston:2 condition:1 zti:1 four:1 presented:1 t2:3 solution:2 t0:1 t1:55 discrete:1 vector:4 small:3 c01:1 c02:1 setup:2 martingale:1 eberlein:2 zi:2 c0:4 measurable:7 approximation:22 second:6 further:1 dynamics:4 implemented:1 dwt1:9 quite:1 theory:1 even:1 index:1 what:3 ˆt:3 invertible:5 itˆ:1 section:4 analogously:1 expressed:2 version:2 goes:1 method:11 contrast:1 coefficient:2 supporting:1 full:2 christian:1 concepts:2 equals:2 here:1 desired:2 address:1 κt:7 path:1 strong:33 equations:3 z1:2 change:1 κs:5 obtained:6 remark:8 fwf:1 changed:1 commonly:1 later:1 paris:1 products:1 makes:1 options:2 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