# Student Probability Seminar

#### A Simplified Version of Wiener Sausage

Speaker: Zhe Wang

Location: Warren Weaver Hall 202

Date: Friday, November 7, 2014, 2 p.m.

Synopsis:

We are interested in the large time behavior of simple random walk in $$\mathbb{Z}^d$$, especially the number of sites visited by it. The asymptotic behavior of the number could be analyzed via the behavior of its moment generating function. A rate function will provided as an application of Large Deviation Theory. Some inequalities and typical results for LDP will be introduced. No special background is assumed.