Seminar in applied mathematics and statistics

SPEAKER: Lars Nørvang Andersen (Aarhus)

TITLE: Stochastic modelling of gene trees and mutation processes.

Abstract: In this talk, I will present a range of stochastic models for gene trees and mutation processes and associated applications. Using the classical Kingman's coalescent model as a point of departure, I will describe how to formulate such models in a general continuous time Markov chain framework, and I will discuss how different model assumptions lead to different computational tasks. A recurring hurdle in practical calculations is state-space explosion, and I will demonstrate how to approach this issue using lumpability.

Tea and chocolate will be served in room 04.4.19 after the seminar.

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Upcoming seminars:

November 10, 11:15: Konstantin Pavlikov (Odense)

January 11, 15:15: Ryan Tibshirani (Carnegie Mellon)

February 2, 13:15: Axel Munk (Göttingen)