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Sequence Entropy and Mild Mixing

Published online by Cambridge University Press:  20 November 2018

Qing Zhang
Qing Zhang*
Affiliation:
The Ohio State University, 100 Mathematics Building, 231 West 18th Avenue, Columbus, Ohio 43210-1174, USA
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Entropy characterizations of different spectral and mixing properties of dynamical systems were dealt with by a number of authors (see [5], [6] and [8]).

Given an infinite subset Γ = {tn}of N and a dynamical system (X, β,μ, T) one can define sequence entropy along for any finite Petition ξ, and hΓ(T) —supξ hΓ(T,ξ). In [6] Kushnirenko used sequence entropy to give a characterization of systems with discrete spectrum.

Keywords

28D20

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 44 , Issue 1 , 01 December 1991, pp. 215 - 224
Copyright
Copyright © Canadian Mathematical Society 1989

References

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