##### Department of Mathematics,

University of California San Diego

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### Food For Thought Seminar - Open House

## Patrick Driscoll

#### UCSD

## The Fine Art of Wandering: A Potentially Interesting Discussion

##### Abstract:

This talk will focus on the beautiful interplay between probability theory and harmonic functions. This connection is provided through the notion of random walks. A gentle introduction to this concept will be given, along with a realization of solutions to a discrete Laplace's equation in terms of random walks. Time permitting, we will also discuss the continuous analog of these results, along with some related areas of study at the intersection of probability and classical analysis. No knowledge beyond linear algebra will be assumed, and all results will be discussed on a heuristic level, so even the most stochastic-phobic among us is encouraged to attend. Sincerely, Mr. Thought \\ Please note different location and time than usual.

### March 31, 2011

### 12:30 PM

### AP&M B402A (Calculus Lab)

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