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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 with . Our main result gives a hydrodynamic…