**UM Math Graduate Students Seminar**

Andrew Sanchez

*University of Miami*

**will present**

**Markov Chains **

Friday, September 21, 2012, 3:45pm

Ungar Building Room 402

**Abstract:**Markov Chains are a useful way of modeling random processes that transition between a finite number of states. In this talk we will start with the formal definition of a Markov Chain and some basic definitions, and then derive some results regarding Markov Chains with absorbing states. Time permitting, we will discuss some applications such as the Gambler's Ruin.

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