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Conditional Sequence Entropy and Mild Mixing Extensions

Published online by Cambridge University Press:  20 November 2018

Qing Zhang
Qing Zhang*
Affiliation:
Department of Mathematics, The Ohio State University, Columbus, Ohio43210, U.S.A.
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Abstract

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For a measure preserving system (X, ℬ, μ, T) with a factor (Y, C, v, T) and an infinite sequence {tn}, one can define conditional sequence entropy. We present two theorems which characterize rigid and mildly mixing extensions by conditional sequence entropy. Properties of IP-systems are used to prove our main theorems.

Keywords

28D20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 45 , Issue 2 , 01 April 1993 , pp. 429 - 448
Copyright
Copyright © Canadian Mathematical Society 1993

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