##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability Seminar

## Prof. Krzysztof Burdzy

#### University of Washington

## On the spine of Fleming-Viot process

##### Abstract:

A Fleming-Viot process is a system of n particles driven by independent copies of a driving Markov process. When one of the particles hits the boundary of the domain, it is killed, and some other particle branches. There is only one infinite path (spine) in the branching structure. Under some assumptions, when n goes to infinity, the distribution of the spine converges to the distribution of the driving Markov process conditioned to avoid the boundary of the domain forever.

Based on joint articles with M. Bieniek, J. Englander, and T. Tadic.

### April 20, 2023

### 11:00 AM

APM 6311 with live streaming via Zoom. Contact poagarwal@ucsd.edu for Zoom info.

Research Areas

Probability Theory****************************