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Dynamics of the evolving Bolthausen-Sznitman coalescent

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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.

This talk is part of the Probability series.

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