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.
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie, 4 Place Jussieu, 75255 Paris Cedex France.
authors.forename: Marie
authors.initials: M
authors.lastname: Chupeau
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie, 4 Place Jussieu, 75255 Paris Cedex France.
authors.forename: Olivier
authors.initials: O
authors.lastname: Bénichou
authors.affiliation: Laboratoire de Physique Théorique de la Matière Condensée (UMR CNRS 7600), Université Pierre et Marie Curie, 4 Place Jussieu, 75255 Paris Cedex France and Laboratoire Jean Perrin, FRE 3231 CNRS /UPMC, 4 Place Jussieu, 75255 Paris Cedex.
authors.forename: Raphaël
authors.initials: R
authors.lastname: Voituriez
mesh_terms: D008962:Models, Theoretical; D009038:Motion; D011336:Probability