**Speaker**: Subhajit Ghosh

**Date**: 3rd April 2018 (Tuesday)

**Time**: 09:15 pm-10:15 pm

**Venue**: Lecture Hall I, Department of Mathematics

**Abstract**:

In this talk, I shall discuss discrete time Markov chains with finite state space briefly. Mainly, I’ll prove a version of the Perron-Frobenius theorem, which ensures the existence and uniqueness of the stationary distribution for irreducible chains; moreover, if the chain is aperiodic, then the distribution after the *n*th transition will converge to the stationary distribution.

**Prerequisites: **Basic Probability and Linear Algebra

**Area**: Probability

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