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The interactions between ergodic theory and information theory

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1 Author(s)
P. C. Shields ; Dept. of Math., Toledo Univ., OH, USA

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

Published in:

IEEE Transactions on Information Theory  (Volume:44 ,  Issue: 6 )