14 citations · 21 across the 9 of their papers we have counts for
9 papers · 1 filter
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…
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…
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 with . Our main result gives a hydrodynamic…
Mean field limit for survival probability of the high-dimensional contact process
Xiaofeng Xue
In this paper we are concerned with the contact process on the squared lattice. The contact process intuitively describes the spread of the infectious disease on a graph, where an…
Asymptotic for critical value of the large-dimensional SIR epidemic on clusters
Xiaofeng Xue
In this paper we are concerned with the SIR (Susceptible-Infective-Removed) epidemic on open clusters of bond percolation on the squared lattice. For the SIR model, a susceptible v…
Phase transition for the SIR model with random transition rates on complete graphs
Xiaofeng Xue
In this paper we are concerned with the Susceptible-Infective-Removed model with random transition rates on complete graphs with vertices. We assign i. i. d. copies of a…