Vorträge in der Woche 23.11.2009 bis 29.11.2009

Montag, 23.11.2009: The tree-length of an evolving coalescent

Prof. Dr. Peter Pfaffelhuber

Exchangeable population models of constant size are a focus of interest in mathematical population genetics. They give rise to measure-valued processes as well as random trees describing the genealogy at fixed times. As a matter of fact, genealogies change during the evolution of the population. In this talk I will describe the tree-valued Markov process describing the large-population-limit of the evolution of genealogies. In addition, I will show that the process of total branch lengths of the tree converges to a cadlag process in the limit of large population sizes. This is joint work with Heinz Weisshaupt (Freiburg) and Anton Wakolbinger (Frankfurt).