14 citations · 51 across the 35 of their papers we have counts for
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math.PR2021
The voter model with a slow membrane
Xiaofeng Xue, Linjie Zhao
We introduce the voter model on the infinite lattice with a slow membrane and investigate its hydrodynamic behavior and nonequilibrium fluctuations. The model is defined as follows…
math.PR2021
Moderate deviations of hitting times of a family of density-dependent Markov chains
Yuheng He, Xiaofeng Xue
In this paper we are concerned with hitting times of a family of density-dependent Markov chains. A moderate deviation principle of the hitting time is given. The proof of the main…
math.PR2021★ 1 cited
Moderate deviations of generalized -urn Ehrenfest models
Lirong Ren, Xiaofeng Xue
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 mod…