##### Department of Mathematics,

University of California San Diego

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### Math 296 - Graduate Student Colloquium

## Ruth Williams

#### UCSD

## From Brownian Motion to Stochastic Networks

##### Abstract:

This talk will begin with an introduction to one of the fundamental stochastic processes in probability theory, Brownian motion. Next comes a constrained version, called reflected Brownian motion, a process arising as a diffusion limit of stochastic networks and of interacting particle models in statistical physics. This leads to many mathematical questions, some of which we shall see in the talk.

Organizer: Ioan Bejenaru

### March 3, 2016

### 11:00 AM

### AP&M 6402

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