Sascha Troscheit, Department of Pure Mathematics, University of Waterloo
"Branching Processes, Martingales, Kingman’s Subadditive Ergodic Theorem, and some applications, Part II: The almost sure number of descendants and finer information, such as expected deviations from the average behaviour and `immigration'"
Branching processes are stochastic processes often used to model reproduction and were first developed to study effects in populations such as extinction of surnames and Brownian motion. However, these models have applications across a whole range of pure mathematics and have been employed in solving problems in analysis, combinatorics, number theory, and group theory.
In this series of seminars we will take a probabilistic and dynamical view on several types of branching processes and study basic properties using the theory of martingales and ergodic theory. No specialized prior background will be assumed.
MC 5417