##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability Seminar

## Georg Menz

#### UCLA

## The log-Sobolev inequality for unbounded spin systems

##### Abstract:

The log-Sobolev inequality (LSI) is a very useful tool for analyzing high-dimensional situations. For example, the LSI can be used for deriving hydrodynamic limits, for estimating the error in stochastic homogenization, for deducing upper bounds on the mixing times of Markov chains, and even in the proof of the PoincarÃ© conjecture by Perelman. For most applications, it is crucial that the constant in the LSI is uniform in the size of the underlying system. In this talk, we discuss when to expect a uniform LSI in the setting of unbounded spin systems.

Host: Todd Kemp

### June 2, 2016

### 10:00 AM

### AP&M 6402

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