##### Department of Mathematics,

University of California San Diego

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### AWM Colloquium

## Jiaqi Liu

#### UCSD

## Branching Brownian motion and the evolution of populations undergoing selection

##### Abstract:

Branching Brownian motion (BBM) is a random particle system which incorporates both the tree-like structure and the diffusion process. BBM has a natural interpretation as a population model. In this talk, we will see how one variant model of BBM, BBM with an inhomogeneous branching rate can be used to study the evolution of populations undergoing selection. We will provide a mathematically rigorous justification for the biological observation that the distribution of the fitness levels of individuals in a population evolves over time like a traveling wave with a profile defined by the Airy function. This talk is based on joint work with Jason Schweinsberg.

### February 24, 2022

### 4:00 PM

https://ucsd.

Zoom ID: 968 8681 9940

Research Areas

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