| Lecturer Profile |
Prof. Vladimir VATUTIN Graduated from the mechanico-mathematical faculty of the Moscow Lomonosov State university in 1974. A Ph.D. student of the Steklov Mathematical Institute of the Academy of Sciences of the USSR from 1974 till 1977. From 1977 till now a researcher of the Steklov Mathematical Institute of the Academy of Sciences of the USSR and the Russian Academy of Sciences. Defended the PhD dissertation "Limit theorems for branching processes" in 1977 (the supervisor — B. A. Sevastyanov). Has a doctor degree in mathematics ("Critical branching processes with regularly varying generating functions" (defended in 1987). Vatutin has got in 1988 an award of the Academy of Sciences of the USSR for important results in mathematics.
A member of the Editorial Board of the journals "Theory of Probability and its Applications" (1994–present time), "Markov processes and related fields" (2003–present time), "Discrete Mathematics and Applications" (2014–present time), "Pliska Studia Mathematica Bulgarica" (2015–present time) "Stochastic processes and their Applications" (2002–2004). |
| Lecture Abstract |
The short course is devoted to some aspects of the theory of branching processes. We will present it in five lectures.
Lecture1: Extinction of populations: from dynasties to North Atlantic whales. Historical introduction. Extinction of families (theories of Lamarck 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. Queuing systems as branching processes.
Lecture4: Multi-type branching processes: classification, basic limit theorems. Composition of populations. Queuing systems as branching processes. Decomposable branching processes. Island models.
Lecture5: Branching processes in random environment Date: May 9, May 11, May 12, May 16, May 18 from 14:30 to 15:30 |
