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.
Access
This thesis is only available for download to the SIUC community. Others should
contact the interlibrary
loan department of your local library.