Dynamics of the evolving Bolthausen-Sznitman coalescent

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• Jason Schweinsberg (UCSD)
• Tuesday 31 May 2011, 16:30-17:30
• MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.

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Consider a population of fixed size that evolves over time. At each time, the genealogical structure of the population can be described by a coalescent tree whose branches are traced back to the most recent common ancestor of the population. This gives rise to a tree-valued stochastic process, known as the evolving coalescent. We will study this process in the case of populations whose genealogy is given by the Bolthausen-Sznitman coalescent. We will focus on the evolution of the time back to the most recent common ancestor and the total length of branches in the tree.

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