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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This thesis is only available for download to the SIUC community. Current SIUC affiliates may also access this paper off campus by searching Dissertations & Theses @ Southern Illinois University Carbondale from ProQuest. Others should contact the interlibrary loan department of your local library or contact ProQuest's Dissertation Express service.