English

A rotor configuration with maximum escape rate

Probability 2020-03-03 v1 Combinatorics

Abstract

Rotor walk is a deterministic analogue of simple random walk. For any given graph, we construct a rotor configuration for which the escape rate of the corresponding rotor walk is equal to the escape rate of simple random walk, and thus answer a question of Florescu, Ganguly, Levine, and Peres (2014).

Keywords

Cite

@article{arxiv.1810.12784,
  title  = {A rotor configuration with maximum escape rate},
  author = {Swee Hong Chan},
  journal= {arXiv preprint arXiv:1810.12784},
  year   = {2020}
}

Comments

6 pages

R2 v1 2026-06-23T04:57:47.933Z