Mean cover time of one-dimensional persistent random walks

M. Chupeau , O. Benichou , R. Voituriez

Bibtex , URL
PHYSICAL REVIEW E, 89, 6
Published 23 Jun. 2014
DOI: 10.1103/PhysRevE.89.062129
ISSN: 1539-3755

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.

Cette publication est associée à :

Dynamique stochastique des systèmes réactifs et vivants