Date of Award

5-1-2013

Degree Name

Master of Science

Department

Mathematics

First Advisor

Budzban, Gregory

Abstract

This thesis examines convergence infinite products in groups and semigroups. Chapter One formulates the underlying semigroup theory needed for the rest of the thesis. In Chapter Two, results concerning convergence of infinite products are proven. Finally, the thesis culminates with computer simulations of products on semigroups, and a conjecture concerning weak ergodicity in hon-homogeneous Markov chains is generated.

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