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Graduate Seminar
Tony Johansson Carnegie Mellon University Title: Branching processes, Poisson processes and branching Poisson processes Abstract: The GaltonWatson branching process is a classical model for population growth describing the number of individuals in any given generation. We will introduce a time element to this, assuming each individual gives birth at random times according to a Poisson process with constant rate. The resulting process is called a CrumpModeJagers process, and we find a distribution for the population size at any given time, assuming all individuals have the same lifetime. Given time, we will also see how this relates to a certain random graph process. Date: Tuesday, October 11, 2016 Time: 5:30 pm Location: Wean Hall 8220 Submitted by: Yangxi Ou Note: Video on Youtube: https://youtu.be/a6QIWEmWaGs 