## UConn Math Club

# Random Walks

## Behrang Forghani (University of Connecticut)

### Wednesday, April 11, 2018
5:45 pm

MONT 321

A drunkard is walking along the road and the chance of him stepping one way is equal to the chance of him stepping the other way. Where will he go?

This problem can be discussed with the theory of random walks, which ties together classical mathematical fields such as algebra, analysis, and geometry. Recent and old work in random walks have found applications in areas ranging from computer science to casinos.

In this talk, we will take a look at random walks on the one, two and three-dimensional integer lattices. Then we will compare these to random walks on an *alphabet* which has a quite different behavior than a random walk on integer lattices.

**Comments: **Free pizza and drinks!