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arXiv · 2604.12504

Cover time for countable Markov shifts

Saeed shaabanian
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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.

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Saeed shaabanian. 2026-04-14. Cover time for countable Markov shifts. https://arxiv.org/abs/2604.12504

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