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Branching Processes with Immigration and Related Topics
Authors:Zeng-hu Li
Institution:(1) School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
Abstract:This is a survey on the recent progresses in the study of branching processes with immigration, generalized Ornstein-Uhlenbeck processes, and affine Markov processes. We mainly focus on the applications of skew convolution semigroups and the connections in those processes.
Keywords:branching process  immigration  measure-valued process  affine process  Ornstein-Uhlenbeck process  skew convolution semigroup  stochastic equation  fluctuation limit
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