English

On homogeneous and oscillating random walks on the integers

Dynamical Systems 2022-01-27 v2 Probability

Abstract

Considering homogeneous and oscillating random walks on the integers, we simplify classical works on recurrence of Spitzer and Kemperman, respectively. Some links with renewal theory are discussed.

Keywords

Cite

@article{arxiv.2110.07215,
  title  = {On homogeneous and oscillating random walks on the integers},
  author = {Julien Brémont},
  journal= {arXiv preprint arXiv:2110.07215},
  year   = {2022}
}