Mean cover time of one-dimensional persistent random walks

Marie Chupeau; Olivier Bénichou; Raphaël Voituriez

doi:10.1103/PhysRevE.89.062129

Mean cover time of one-dimensional persistent random walks

Marie Chupeau
, Olivier Bénichou
, Raphaël Voituriez

Université Pierre et Marie Curie
Laboratoire Jean Perrin

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

The cover time is defined as the time needed for a random walker to visit every site of a confined domain. Here, we focus on persistent random walks, which provide a minimal model of random walks with short-range memory. We derive the exact expression of the mean cover time of a one-dimensional lattice by such a persistent random walk, both for periodic and reflecting boundary conditions.

langue originale	Anglais
Numéro d'article	062129
journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	89
Numéro de publication	6
Les DOIs	https://doi.org/10.1103/PhysRevE.89.062129
état	Publié - 23 juin 2014
Modification externe	Oui

Accès au document

10.1103/PhysRevE.89.062129

Contient cette citation

@article{d9d172156ec14d6bb4caf56aae83439c,

title = "Mean cover time of one-dimensional persistent random walks",

abstract = "The cover time is defined as the time needed for a random walker to visit every site of a confined domain. Here, we focus on persistent random walks, which provide a minimal model of random walks with short-range memory. We derive the exact expression of the mean cover time of a one-dimensional lattice by such a persistent random walk, both for periodic and reflecting boundary conditions.",

author = "Marie Chupeau and Olivier B{\'e}nichou and Rapha{\"e}l Voituriez",

year = "2014",

month = jun,

day = "23",

doi = "10.1103/PhysRevE.89.062129",

language = "English",

volume = "89",

journal = "Physical Review E - Statistical, Nonlinear, and Soft Matter Physics",

issn = "1539-3755",

number = "6",

}

TY - JOUR

T1 - Mean cover time of one-dimensional persistent random walks

AU - Chupeau, Marie

AU - Bénichou, Olivier

AU - Voituriez, Raphaël

PY - 2014/6/23

Y1 - 2014/6/23

N2 - The cover time is defined as the time needed for a random walker to visit every site of a confined domain. Here, we focus on persistent random walks, which provide a minimal model of random walks with short-range memory. We derive the exact expression of the mean cover time of a one-dimensional lattice by such a persistent random walk, both for periodic and reflecting boundary conditions.

AB - The cover time is defined as the time needed for a random walker to visit every site of a confined domain. Here, we focus on persistent random walks, which provide a minimal model of random walks with short-range memory. We derive the exact expression of the mean cover time of a one-dimensional lattice by such a persistent random walk, both for periodic and reflecting boundary conditions.

U2 - 10.1103/PhysRevE.89.062129

DO - 10.1103/PhysRevE.89.062129

M3 - Article

C2 - 25019746

AN - SCOPUS:84903649493

SN - 1539-3755

VL - 89

JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

IS - 6

M1 - 062129

ER -

Mean cover time of one-dimensional persistent random walks

Résumé

Accès au document

Empreinte digitale

Contient cette citation