3 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 -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
Scaling limits and fluctuations of a family of -urn branching processes
Xiaofeng Xue
In this paper we are concerned with a family of -urn branching processes, where some particles are put into urns initially and then each particle gives birth to several new…