Moderate deviations of generalized $N$-urn Ehrenfest models
Probability
2021-08-09 v1
Abstract
This paper is a further investigation of the generalized -urn Ehrenfest model introduced in \cite{Xue2020}. A moderate deviation principle from the hydrodynamic limit of the model is derived. The proof of this main result follows a routine procedure introduced in \cite{Kipnis1989}, where a replacement lemma plays the key role. To prove the replacement lemma, the large deviation principle of the model given in \cite{Xue2020} is utilized.
Cite
@article{arxiv.2108.03040,
title = {Moderate deviations of generalized $N$-urn Ehrenfest models},
author = {Lirong Ren and Xiaofeng Xue},
journal= {arXiv preprint arXiv:2108.03040},
year = {2021}
}