Title: Diffusion Approximation of Near Critical Branching Processes in Fixed and Random Environment

Speaker: Nikolaos Limnios

University of Technology of Compiegne, Sorbonne University, France.

Time: 3:00pm, 2019-6-5（星期三）

Location: 200-9 R.R.Shaw Building（逸夫楼），Yuquan Campus, Zhejiang University

Abstract: We consider Bienayme-Galton-Watson and continuous-time Markov branching processes and prove diffusion approximation results in the near critical case, in fixed and random environment. In one hand, in the fixed environment case, we give new proofs and derive necessary and sufficient conditions for diffusion approximation to get hold of Feller-Jirina and Jagers theorems.

In the other hand, we propose a continuous-time Markov branching process with semi-Markov random environments and obtain diffusion approximation results.  We present also an averaging result.

All are welcome!

Contact Person: Sergey Bocharov , bocharov@zju.edu.cn

                                   浙江大学统计系

                                      2019-5-28