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Probabilistic Methods In Information Theory

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.

Identiferoai:union.ndltd.org:csusb.edu/oai:scholarworks.lib.csusb.edu:etd-1464
Date01 September 2016
CreatorsPachas, Erik W
PublisherCSUSB ScholarWorks
Source SetsCalifornia State University San Bernardino
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceElectronic Theses, Projects, and Dissertations

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