The interactions between ergodic theory and information theory

Authors:
P. C. Shields
Affiliations:
Dept. of Math., Toledo Univ., OH
Venue:
IEEE Transactions on Information Theory
Year:
2006

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Abstract

Information theorists frequently use the ergodic theorem; likewise entropy concepts are often used in information theory. Recently, the two subjects have become partially intertwined as deeper results from each discipline find use in the other. A brief history of this interaction is presented in this paper, together with a more detailed look at three areas of connection, namely, recurrence theory, blowing-up bounds, and direct sample-path methods