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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	062129
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	89
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.89.062129
Publication status	Published - 23 Jun 2014
Externally published	Yes

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10.1103/PhysRevE.89.062129

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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.",

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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.

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DO - 10.1103/PhysRevE.89.062129

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Mean cover time of one-dimensional persistent random walks

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