Moderate deviations of generalized $N$-urn Ehrenfest models

Lirong Ren; Xiaofeng Xue

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arXiv · 2108.03040

Moderate deviations of generalized $N$-urn Ehrenfest models

Lirong Ren·Xiaofeng Xue

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Abstract

This paper is a further investigation of the generalized $N$-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.

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Lirong Ren, Xiaofeng Xue. 2021-08-06. Moderate deviations of generalized $N$-urn Ehrenfest models. https://arxiv.org/abs/2108.03040

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