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math.PR2020★ 4 cited
Classification and threshold dynamics of stochastic reaction networks
Carsten Wiuf, Chuang Xu
Stochastic reaction networks (SRNs) provide models of many real-world networks. Examples include networks in epidemiology, pharmacology, genetics, ecology, chemistry, and social sc…
math.PR2019★ 1 cited
Dynamics of continuous time Markov chains with applications
Chuang Xu, Mads Christian Hansen, Carsten Wiuf
This paper contributes an in-depth study of properties of continuous time Markov chains (CTMCs) on non-negative integer lattices , with particular interest in one-dimension…
math.PR2018★ 2 cited
The asymptotics of purely atomic one-dimensional Levy approximations
Arno Berger, Chuang Xu
For arbitrary Borel probability measures on the real line, necessary and sufficient conditions are presented that characterize best purely atomic approximations relative to the cla…