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The moderate deviation of the density-dependent population process
时间  Datetime
2019-12-06 11:00 — 12:00 
地点  Venue
639
报告人  Speaker
薛晓峰
单位  Affiliation
北京交通大学
邀请人  Host
陈新兴
报告摘要  Abstract

The density-dependent population process (DDPP) introduced in Kurtz1978 is a continuous time Markov process applied in fields such as epidemics, chemical reactions and so on. In this talk we are concerned with the moderate deviation of DDPP, inspired by that of hydrodynamics of symmetric exclusion processes given in Gao2003. The proofs for the lower and upper bounds of our main result utilize an exponential martingale, which is defined according to the generator of DDPP and a generalized version of Girsanov's theorem.