報(bào)告題目： 分枝過程及其應(yīng)用（Branching Processes and their Applications）
報(bào)告人： Vladimir VATUTIN教授
俄羅斯科學(xué)院Steklov數(shù)學(xué)研究所（莫斯科）
邀請(qǐng)人： 董從造副教授
報(bào)告時(shí)間： 5月9日、11日、12日、16日、18日下午2:30-3:30
報(bào)告地點(diǎn)： 信遠(yuǎn)樓II206數(shù)統(tǒng)院報(bào)告廳
報(bào)告人簡(jiǎn)介：Vatutin教授1974年取得莫斯科Lomonosov國(guó)立大學(xué)學(xué)士學(xué)位；1977、1987年在俄羅斯科學(xué)院Steklov數(shù)學(xué)研究所分別獲得碩士學(xué)位和數(shù)學(xué)與物理學(xué)博士學(xué)位。Vatutin教授1988年獲前蘇聯(lián)科學(xué)院數(shù)學(xué)突出成果獎(jiǎng)，1988年至今為Steklov數(shù)學(xué)研究所杰出研究員。在Annals of Probability，Probability Theory and Related Fields，Stochastic Processes and their Applications等國(guó)際一流雜志上發(fā)表多篇論文，迄今發(fā)表文章160余篇，出版學(xué)術(shù)專著3部（Branching Processes, Random Walks, and Related Problems，Branching Bellman-Harris Processes，Branching Processes and their Applications）。在2014年國(guó)際數(shù)學(xué)家大會(huì)等大型國(guó)際會(huì)議上作幾十場(chǎng)學(xué)術(shù)報(bào)告，得到美國(guó)、德國(guó)、法國(guó)、澳大利亞、瑞典等國(guó)家的科研資助。
曾任知名雜志Stochastic Processes and their Applications編委，現(xiàn)任Markov Processes and Related Fields，Theory of Probability and its Applications，Discrete Mathematics and Applications，Pliska Studia Mathematica Bulgarica等多個(gè)國(guó)際期刊的編委。
報(bào)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.
