The purpose of the seminars is to increase the conversation between working groups devoted to solutions for stochastic problems and properties of stochastic dynamics. The talks don’t have to be about original work, but they must be accessible to people from different fields.
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Jakub Svoboda We study how the structure of the population affects the evolution. In the model, individuals live on the vertices of a graph and can interact with neighbors. We focus on the selection, how a randomly placed mutant with higher fitness spreads through a population of residents until just mutants or residents are left. We define a birth-death (Bd) Moran process. In that process, we select an individual proportionally to the fitness, and his offspring replaces a random neighbor. Then, we prove that the structure of the population can help or harm the mutant significantly. Finally, we introduce the death-birth (dB) process. An individual dies, and then it is replaced by a neighbor selected proportionally to fitness. In some cases, there also exist amplifiers, but they are not as strong and well understood as in Bd process. https://istaustria.zoom.us/j/4239957524?pwd=ZkRzUkFPYWx6Q3N3UDQyZ2VMMnYvQT09
Meeting information
https://istaustria.zoom.us/j/4239957524?pwd=ZkRzUkFPYWx6Q3N3UDQyZ2VMMnYvQT09
Meeting ID: 423 995 7524
Passcode: 765460
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