##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability and Statistics Seminar

## Allan Sly

#### University of California, Berkeley

## Mixing in time and space

##### Abstract:

For Markov random fields temporal mixing, the time it takes for the Glauber dynamics to approach its stationary distribution, is closely related to phase transitions in the spatial mixing properties of the measure such as uniqueness and the reconstruction problem. Such questions connect ideas from probability, statistical physics and theoretical computer science. I will survey some recent progress in understanding the mixing time of the Glauber dynamics as well as related results on spatial mixing.

Host: Jason Schweinsberg

### April 9, 2009

### 10:00 AM

### AP&M 6402

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