Mean cover time of one-dimensional persistent random walks
  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. 
Marie Chupeau, Olivier B\'enichou and Rapha\"el Voituriez
cond-mat.stat-mech