Mean cover time of one-dimensional persistent random walks

Copier la citation

Chupeau, M., Benichou, O., & Voituriez, R. (2014). Mean cover time of one-dimensional persistent random walks. PHYSICAL REVIEW E, 89(6). https://doi.org/10.1103/PhysRevE.89.062129

Copier la citation

@article{Chupeau2014_219,
  author = {Chupeau, Marie and Benichou, Olivier and Voituriez, Raphael},
  year = {2014},
  month = {6},
  title = {Mean cover time of one-dimensional persistent random walks},
  journal = {PHYSICAL REVIEW E},
  volume = {89},
  number = {6},
  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.},
  url = {http://www.dx.doi.org/10.1103/PhysRevE.89.062129},
  doi = {10.1103/PhysRevE.89.062129},
  issn = {1539-3755},
}

Copier la citation

TY  - JOUR
AU  - Chupeau, Marie
AU  - Benichou, Olivier
AU  - Voituriez, Raphael
PY  - 2014
DA  - 2014/06/23
TI  - Mean cover time of one-dimensional persistent random walks
JO  - PHYSICAL REVIEW E
VL  - 89
IS  - 6
SN  - 1539-3755
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.
DO  - 10.1103/PhysRevE.89.062129
UR  - http://www.dx.doi.org/10.1103/PhysRevE.89.062129
ER  -