##### Department of Mathematics,

University of California San Diego

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### Probability Seminar

## Jason Schweinsberg

#### UCSD

## Tree-valued dynamics associated with the Bolthausen-Sznitman coalescent

##### Abstract:

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. 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.

### May 12, 2011

### 10:00 AM

### AP&M 6402

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