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arXiv · 1406.1687

Mean cover time of one-dimensional persistent random walks

Marie Chupeau·Olivier Bénichou·Raphaël Voituriez
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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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Marie Chupeau, Olivier Bénichou, Raphaël Voituriez. 2014-06-06. Mean cover time of one-dimensional persistent random walks. https://doi.org/10.1103/physreve.89.062129

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