Cover time for countable Markov shifts
Dynamical Systems
2026-04-15 v1
Abstract
Cover time, in the context of dynamical systems, quantifies the rate at which orbits cover the system. We prove that for countable full shifts with a Gibbs measure, equipped with a natural metric, the rate of covering of orbits of points behaves according to the minimum measure of balls. Moreover, this rate exhibits sensitivity to changes in the metric.
Keywords
Cite
@article{arxiv.2604.12504,
title = {Cover time for countable Markov shifts},
author = {Saeed shaabanian},
journal= {arXiv preprint arXiv:2604.12504},
year = {2026}
}
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30 pages