English

Impatient random walk

Probability 2017-12-13 v2

Abstract

We introduce a new type of random walk where the definition of edge reinforcement is very different from the one in the reinforced random walk models studied so far, and investigate its basic properties, such as null/positive recurrence, transience, and speed. Two basic cases will be dubbed "impatient" and"ageing" random walks.

Keywords

Cite

@article{arxiv.1709.05421,
  title  = {Impatient random walk},
  author = {Janos Englander and Stanislav Volkov},
  journal= {arXiv preprint arXiv:1709.05421},
  year   = {2017}
}

Comments

3 figures

R2 v1 2026-06-22T21:45:00.831Z