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[PDF] Top 20 Mixing time and cutoff for the weakly asymmetric simple exclusion process

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Mixing time and cutoff for the weakly asymmetric simple exclusion process

Mixing time and cutoff for the weakly asymmetric simple exclusion process

... 2018 SIMPLE EXCLUSION PROCESS CYRIL LABB ´ E AND HUBERT LACOIN A BSTRACT ...consider the simple exclusion process with k particles on a seg- ment of length N ... Voir le document complet

39

Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling

Cutoff phenomenon for the asymmetric simple exclusion process and the biased card shuffling

... on the mixing time that remain ...that for many particle systems convergence to equi- librium occurs abruptly, a phenomenon known as cutoff (see [24, Chapter 18] for an ... Voir le document complet

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Cumulants of the current in the weakly asymmetric exclusion process

Cumulants of the current in the weakly asymmetric exclusion process

... INTRODUCTION The one dimensional asymmetric simple exclusion process (ASEP) is one of the most simple examples of a classical interacting particles system exhibiting a non ... Voir le document complet

25

Current fluctuations for totally asymmetric exclusion on the relaxation scale

Current fluctuations for totally asymmetric exclusion on the relaxation scale

... by the system size L and the observation time T going both to infinity with T ∼ L 3/2 ...to the scale of relaxation to stationarity, with the dynamical exponent 3/2 of ... Voir le document complet

10

Random walk driven by the simple exclusion process

Random walk driven by the simple exclusion process

... numbers and the invariance principle are deduced in a second step. As the environment evolves only on diffusive time scales, a ballistic walker discovers fresh randomness most of the ... Voir le document complet

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Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries

Exact Current Statistics of the Asymmetric Simple Exclusion Process with Open Boundaries

... charge) and subject to a driving field in its bulk, or to a difference of potentials between its bound- aries, will usually evolve to a non-equilibrium steady state (NESS) with a non-vanishing macroscopic current ... Voir le document complet

6

On Mobility and Einstein Relation for Tracers in Time-Mixing Random Environments

On Mobility and Einstein Relation for Tracers in Time-Mixing Random Environments

... TIME-MIXING RANDOM ENVIRONMENTS. TOMASZ KOMOROWSKI AND STEFANO OLLA ...establish the existence of the mobility coefficient for a tagged particle in a simple symmetric ... Voir le document complet

21

Transfer matrices for the totally asymmetric simple exclusion process

Transfer matrices for the totally asymmetric simple exclusion process

... from the matrix-product ansatz and the existence of the left transfer matrix ˜ T is ...between the dynamics corresponding to two consecutive system sizes is a consequence of the ... Voir le document complet

8

Cutoff phenomenon for the simple exclusion process on the complete graph

Cutoff phenomenon for the simple exclusion process on the complete graph

... graph and 1 6 k 6 |V | − 1 an ...ones and |V | − k zeros (ones can be considered as particles moving on the ...graph). The simple exclusion process on the graph G ... Voir le document complet

17

Exponential rate for the contact process extinction time

Exponential rate for the contact process extinction time

... of the original graph at a smaller scale. Few results are available for the contact process on random graphs obtained from percolation- type models; see for instance [ 2 , 7 , 35 ] ... Voir le document complet

19

Large deviations of a tracer in the symmetric exclusion process

Large deviations of a tracer in the symmetric exclusion process

... of the simplest models in non-equilibrium statis- tical physics is the Symmetric Exclusion Process (SEP) [17], a lattice gas of particles performing symmetric ran- dom walks in continuous ... Voir le document complet

11

Uniform limit theorems for the integrated periodogram of weakly dependent time series and their applications to Whittle's estimate

Uniform limit theorems for the integrated periodogram of weakly dependent time series and their applications to Whittle's estimate

... stationary time series is an important statistic problem both for theoretical research and for its practical applications to real ...attractive for numerous models like ARMA, linear ... Voir le document complet

24

Space and Time Trade-Off for the k Shortest Simple Paths Problem

Space and Time Trade-Off for the k Shortest Simple Paths Problem

... be the shortest path from v 0 to t in T 0 . Note that the path Q(i, e) = (v 0 , · · · , v i , v 0 , P v 0 t(T 0 )) is a shortest extension of P 0 at e, but it is not necessarily simple (it is not ... Voir le document complet

14

Long-time dynamics for a simple aggregation equation on the sphere

Long-time dynamics for a simple aggregation equation on the sphere

... introduced and studied in different contexts from the one of self-propelled ...on the sphere has been introduced as a model of opinion formation in ...[3,6]. The kinetic equation (2) with a ... Voir le document complet

22

Chaotic Sampling, Very Weakly Coupling, and Chaotic Mixing: Three Simple Synergistic Mechanisms to Make New Families of Chaotic Pseudo Random Number Generators

Chaotic Sampling, Very Weakly Coupling, and Chaotic Mixing: Three Simple Synergistic Mechanisms to Make New Families of Chaotic Pseudo Random Number Generators

... 0) the maps are decoupled, when ε = (1, 1) they are fully cross ...-7 for floating point numbers or 10 -14 for double precision numbers), because it seems that the maps are quasi decoupled ... Voir le document complet

10

Fractional Fick's law for the boundary driven exclusion process with long jumps

Fractional Fick's law for the boundary driven exclusion process with long jumps

... motivation for this study is threefold. First, due to the intense activity developed around the exclusion process since its introduction almost fifty years ago, it is very natural to ... Voir le document complet

29

The kinetic study for asymmetric membrane formation via phase-inversion process

The kinetic study for asymmetric membrane formation via phase-inversion process

... Vous avez des questions? Nous pouvons vous aider. Pour communiquer directement avec un auteur, consultez la première page de la revue dans laquelle son article a été publié afin de trouver ses coordonnées. Si vous ... Voir le document complet

10

Convergence rates for density estimators of weakly dependent time series

Convergence rates for density estimators of weakly dependent time series

... (3) and (4) still hold. The sharper condition P r |β r | < ∞ entails the optimal rate of convergence for the MISE (see ...Results for the MISE have been extended to ... Voir le document complet

25

Space and time trade-off for the k shortest simple paths problem

Space and time trade-off for the k shortest simple paths problem

... PSB, the parameter k is not part of the input, and so the sets of candidates are simply implemented using pairing ...return the next shortest path as long as one exists. We have ... Voir le document complet

15

Supercriticality conditions for asymmetric zero-range process with  sitewise disorder

Supercriticality conditions for asymmetric zero-range process with  sitewise disorder

... in the following ...value and satisfying a weak concavity condition (H) (to be stated in the next ...totally asymmetric nearest neighbour random walk ker- nels. We address the following ... Voir le document complet

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