14 citations · 51 across the 35 of their papers we have counts for
5 papers · 1 filter
Hydrodynamics of the generalized -urn Ehrenfest model
Xiaofeng Xue
In this paper we are concerned with a generalized -urn Ehrenfest model, where balls keeps independent random walks between boxes uniformly laid on . After a proper s…
Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process
Xiaofeng Xue, Linjie Zhao
This paper is a further investigation of the problem studied in \cite{xue2020hydrodynamics}, where the authors proved a law of large numbers for the empirical measure of the weakly…
Statistical inference for unknown parameters of stochastic SIS epidemics on complete graphs
Huazheng Bu, Xiaofeng Xue
In this paper, we are concerned with the stochastic susceptible-infectious-susceptible (SIS) epidemic model on the complete graph with vertices. This model has two parameters,…
Moderate Deviations for the SSEP with a Slow Bond
Xiaofeng Xue, Linjie Zhao
We consider the one dimensional symmetric simple exclusion process with a slow bond. In this model, particles cross each bond at rate , except one particular bond, the slow bo…
Large and Moderate Deviation Principles for the SIR Epidemic in a Random Environment
Xiaofeng Xue, Yumeng Shen
In this paper, we are concerned with SIR epidemics in a random environment on complete graphs, where every edges are assigned with i.i.d. weights. Our main results give large and m…