Date of Award
9-2016
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Kakihara, Yuichiro
Abstract
Given a probability space, we analyze the uncertainty, that is, the amount of information of a finite system, by studying the entropy of the system. We also extend the concept of entropy to a dynamical system by introducing a measure preserving transformation on a probability space. After showing some theorems and applications of entropy theory, we study the concept of ergodicity, which helps us to further analyze the information of the system.
Recommended Citation
Pachas, Erik W., "Probabilistic Methods In Information Theory" (2016). Electronic Theses, Projects, and Dissertations. 407.
https://scholarworks.lib.csusb.edu/etd/407