Séminaire des élèves
École polytechnique – Centre de Mathématiques Laurent Schwartz
12h25 - Aksel Rasmussen (M2019)
“Recent common ancestors of all present-day individuals”
Abstract : How many generations would we have to go back in time to find someone who is the ancestor of all people on Earth today?
Are all present-day individuals of royal blood? The theorems presented in “Recent common ancestors of all present-day individuals“, by Joseph T. Chang, have surprising and interesting consequences. In a Wright-Fisher model, which defines ancestry using both parents, the number of generations back to a most recent common ancestor has a distribution that is concentrated around log_2(n) where n is the population size. In order to get there we need the notions of Markov chains, martingales and the Galton-Watson process.
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