A Transience Criterion for Uniformly Bounded Markov Chains with Asymptotically Zero Mean Drift
Probability
2025-10-07 v1
Abstract
In this paper, we give an overview of mean drift conditions for the state-space classification of discrete-time Markov Chains and we present a new transience criterion for uniformly bounded Markov Chains with asymptotically zero drift. The criterion does not need a condition on the second-moment drifts and can be applied to certain chains for which other criteria fail.
Keywords
Cite
@article{arxiv.2510.03937,
title = {A Transience Criterion for Uniformly Bounded Markov Chains with Asymptotically Zero Mean Drift},
author = {Dan Andrei Tudor},
journal= {arXiv preprint arXiv:2510.03937},
year = {2025}
}
Comments
10 pages, 2 figures