报告题目： 分枝过程及其应用（Branching Processes and their Applications）

报告人： Vladimir VATUTIN教授

俄罗斯科学院Steklov数学研究所（莫斯科）

邀请人： 董从造副教授

报告时间： 5月9日、11日、12日、16日、18日下午2:30-3:30

报告地点： 信远楼II206我院报告厅

报告人简介：Vatutin教授1974年取得莫斯科Lomonosov国立大学学士学位；1977、1987年在俄罗斯科学院Steklov数学研究所分别获得硕士学位和数学与物理学博士学位。Vatutin教授1988年获前苏联科学院数学突出成果奖，1988年至今为Steklov数学研究所杰出研究员。在Annals of Probability，Probability Theory and Related Fields，Stochastic Processes and their Applications等国际一流杂志上发表多篇论文，迄今发表文章160余篇，出版学术专著3部（Branching Processes, Random Walks, and Related Problems，Branching Bellman-Harris Processes，Branching Processes and their Applications）。在2014年国际数学家大会等大型国际会议上作几十场学术报告，得到美国、德国、法国、澳大利亚、瑞典等国家的科研资助。

曾任知名杂志Stochastic Processes and their Applications编委，现任Markov Processes and Related Fields，Theory of Probability and its Applications，Discrete Mathematics and Applications，Pliska Studia Mathematica Bulgarica等多个国际期刊的编委。

报告摘要：The short course is devoted to some aspects of the theory of branching processes. We will split it into five lectures.

Lecture1:Extinction of populations: from dynasties to North Atlantic whales. Historical introduction. Extinction of families (theories of Lamark and Darwin), epidemic models, problems of vaccination, mitochondrial DNA. Galton-Watson processes: classification, basic limit theorems. Theoretical models of PCR.

Lecture2:Reduced processes. The distance to the most recent ancestor. Continuous time Markov branching processes: classification.

Lecture3:Branching processes counted by random characteristics. Queueing systems as branching processes.

Lecture4:Multitype branching processes: classification, basic limit theorems. Composition of populations. Polling queueing systems as branching processes. Decomposable branching processes. Island models.

Lecture5:Branching processes in random environment.