@Article{JMS-55-3,
author = {Song, Sai and Yao, Qiang},
title = {A New Method for Computing the Expected Hitting Time Between Arbitrary Different Configurations of the Multiple–Urn Ehrenfest Model},
journal = {Journal of Mathematical Study},
year = {2022},
volume = {55},
number = {3},
pages = {254--270},
abstract = {<p style="text-align: justify;">We study a multiple-urn version of the Ehrenfest model. In this setting, we denote the $n$ urns by Urn $1$ to Urn $n$, where $n\geq2$. Initially, $M$ balls are randomly placed in the $n$ urns. At each subsequent step, a ball is selected and put into the other $n-1$ urns with equal probability. The expected hitting time leading to a change of the $M$ balls&#39; status is computed using the method of stopping times. As a corollary, we obtain the expected hitting time of moving all the $M$ balls from Urn $1$ to Urn $2$.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v55n3.22.03},
url = {https://global-sci.com/article/87654/a-new-method-for-computing-the-expected-hitting-time-between-arbitrary-different-configurations-of-the-multipleurn-ehrenfest-model}
}