DocumentCode
1434508
Title
The interactions between ergodic theory and information theory
Author
Shields, Paul C.
Author_Institution
Dept. of Math., Toledo Univ., OH, USA
Volume
44
Issue
6
fYear
1998
fDate
10/1/1998 12:00:00 AM
Firstpage
2079
Lastpage
2093
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
Keywords
entropy; history; information theory; probability; statistical analysis; blowing-up bounds; direct sample-path methods; entropy; ergodic theorem; ergodic theory; history; information theory; recurrence theory; Data compression; Entropy; History; Information analysis; Information theory; Mathematics; Physics; Probability; Source coding; Stochastic processes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.720532
Filename
720532
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