Xiaofeng Xue

activity

20132023

most citedContact processes with random vertex weights on oriented lattices

14 citations · 51 across the 35 of their papers we have counts for

collaborators

37 papers

math.PR2023

Nonequilibrium moderate deviations from hydrodynamics of simple exclusion processes

Xiaofeng Xue

In this paper, we give the moderate deviation principle from the hydrodynamic limit of the simple exclusion process on $1$ -dimensional torus starting from a nonequilibrium state, w…

math.PR2023

Large and moderate deviations for empirical density fields of stochastic SEIR epidemics with vertex-dependent transition rates

Xiaofeng Xue, Xueting Yin

In this paper, we are concerned with stochastic susceptible-exposed-infected-removed epidemics on complete graphs with vertex-dependent transition rates. Large and moderate deviati…

math.PR2022

Central limit theorems of occupation times of high-dimensional normalized binary contact path processes

Xiaofeng Xue

The binary contact path process (BCPP) introduced in Griffeath (1983) describes the spread of an epidemic on a graph and is an auxiliary model in the study of improving upper bound…

math.PR2022

Scaling limits and fluctuations of a family of $N$ -urn branching processes

Xiaofeng Xue

In this paper we are concerned with a family of $N$ -urn branching processes, where some particles are put into $N$ urns initially and then each particle gives birth to several new…

math.PR2022

Hydrodynamics of $N$ -urn susceptible-infected-removed epidemics

Xiaofeng Xue

In this paper we are concerned with $N$ -urn susceptible-infected-removed epidemics, where each urn is in one of three states, namely `susceptible', `infected' and `removed'. We ass…

math.PR2022

Moderate Deviations for the current and Tagged Particle in Symmetric Simple Exclusion Processes

Xiaofeng Xue, Linjie Zhao

We prove moderate deviation principles for the tagged particle position and current in one-dimensional symmetric simple exclusion processes. There is at most one particle per site.…

math.PR2022

Hydrodynamics of a class of $N$ -urn linear systems

Xiaofeng Xue

In this paper we are concerned with hydrodynamics of a class of $N$ -urn linear systems, which include voter models, pair-symmetric exclusion processes and binary contact path proce…

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 $N$ -urn Ehrenfest models

Lirong Ren, Xiaofeng Xue

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 mod…

math.PR2020

Hydrodynamics of the generalized $N$ -urn Ehrenfest model

Xiaofeng Xue

In this paper we are concerned with a generalized $N$ -urn Ehrenfest model, where balls keeps independent random walks between $N$ boxes uniformly laid on $[0, 1]$ . After a proper s…

math.PR2020★ 2 cited

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…

math.PR2020★ 1 cited

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 $n$ vertices. This model has two parameters,…

math.PR2020★ 6 cited

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 $N^{2}$ , except one particular bond, the slow bo…

math.PR2020

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…

math.PR2019

Moderate deviations of density-dependent Markov chains

Xiaofeng Xue

The density-dependent Markov chain (DDMC) introduced in \cite{Kurtz1978} is a continuous time Markov process applied in fields such as epidemics, chemical reactions and so on. In t…

math.PR2019

Hydrodynamics of the Binary Contact Path Process

Xiaofeng Xue, Linjie Zhao

In this paper we are concerned with the binary contact path process introduced in \cite{Gri1983} on the lattice $Z^{d}$ with $d \geq 3$ . Our main result gives a hydrodynamic…

math.PR2018

Two limit theorems for the high-dimensional two-stage contact process

Xiaofeng Xue

In this paper we are concerned with the two-stage contact process introduced in \cite{Krone1999} on a high-dimensional lattice. By comparing this process with an auxiliary model wh…

math.PR2018

An improved upper bound for critical value of the contact process on $Z^{d}$ with $d \geq 3$

Xiaofeng Xue

In this paper we give an improved upper bound for critical value $λ_{c}$ of the basic contact process on the lattice $Z^{d}$ with $d \geq 3$ . As a direct corollary of out resul…

math.PR2017

The critical infection rate of the high-dimensional two-stage contact process

Xiaofeng Xue

In this paper we are concerned with the two-stage contact process on the lattice $Z^{d}$ introduced in \cite{Krone1999}. We gives a limit theorem of the critical infection r…

math.PR2017

The survival probability of the high-dimensional contact process with random vertex weights on the oriented lattice

Xiaofeng Xue

This paper is a further study of Reference \cite{Xue2015}. We are concerned with the contact process with random vertex weights on the oriented lattice. Our main result gives the a…

math.PR2017

Survival probabilities of high-dimensional stochastic SIS and SIR models with random edge weights

Xiaofeng Xue

In this paper, we are concerned with the stochastic SIS (susceptible-infected-susceptible) and SIR (susceptible-infected-recovered) models on high-dimensional lattices with random…

math.PR2017

The contact process with semi-infected state on the complete graph

Xiaofeng Xue

In this paper we are concerned with the contact process with semi-infected state on the complete graph $C_{n}$ with $n$ vertices. In our model, each vertex is in one of three states…

math.PR2017

The contact process on the regular tree with random vertex weights

Yu Pan, Dayue Chen, Xiaofeng Xue

This paper is concerned with contact process with random vertex weights on regular trees, and study the asymptotic behavior of the critical infection rate as the degree of the tree…

Nonequilibrium moderate deviations from hydrodynamics of simple exclusion processes

Large and moderate deviations for empirical density fields of stochastic SEIR epidemics with vertex-dependent transition rates

Central limit theorems of occupation times of high-dimensional normalized binary contact path processes

Scaling limits and fluctuations of a family of N-urn branching processes

Hydrodynamics of N-urn susceptible-infected-removed epidemics

Moderate Deviations for the current and Tagged Particle in Symmetric Simple Exclusion Processes

Hydrodynamics of a class of N-urn linear systems

The voter model with a slow membrane

Moderate deviations of hitting times of a family of density-dependent Markov chains

Moderate deviations of generalized N-urn Ehrenfest models

Hydrodynamics of the generalized N-urn Ehrenfest model

Non-equilibrium Fluctuations of the Weakly Asymmetric Normalized Binary Contact Path Process

Statistical inference for unknown parameters of stochastic SIS epidemics on complete graphs

Moderate Deviations for the SSEP with a Slow Bond

Large and Moderate Deviation Principles for the SIR Epidemic in a Random Environment

Moderate deviations of density-dependent Markov chains

Hydrodynamics of the Binary Contact Path Process

Two limit theorems for the high-dimensional two-stage contact process

An improved upper bound for critical value of the contact process on Zd with d≥3

The critical infection rate of the high-dimensional two-stage contact process

The survival probability of the high-dimensional contact process with random vertex weights on the oriented lattice

Survival probabilities of high-dimensional stochastic SIS and SIR models with random edge weights

The contact process with semi-infected state on the complete graph

The contact process on the regular tree with random vertex weights

Scaling limits and fluctuations of a family of $N$ -urn branching processes

Hydrodynamics of $N$ -urn susceptible-infected-removed epidemics

Hydrodynamics of a class of $N$ -urn linear systems

Moderate deviations of generalized $N$ -urn Ehrenfest models

Hydrodynamics of the generalized $N$ -urn Ehrenfest model

An improved upper bound for critical value of the contact process on $Z^{d}$ with $d \geq 3$