Estimation of First Returning Speed in Null Recurrent Continuous-Time Markov Chains
Probability
2025-12-29 v2
Abstract
This paper establishes a novel connection between null-recurrent CTMCs and electric networks, offering a systematic classification of null-recurrent behavior based on the first returning speed. By leveraging techniques from electric network theory, we present a general method for estimating the first returning speed of null recurrent birth-death processes and provide some important examples.
Cite
@article{arxiv.2512.17190,
title = {Estimation of First Returning Speed in Null Recurrent Continuous-Time Markov Chains},
author = {Huixi Wang and Minzhi Zhao},
journal= {arXiv preprint arXiv:2512.17190},
year = {2025}
}
Comments
24 pages, 6 figures