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The Measure-Theoretic Entropy and Topological Entropy of Actions over ℤm
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-12
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper studies the quantitative behavior of a class of one-dimensional cellular automata, named weakly permutive cellular automata, acting on the space of all doubly infinite sequences with values in a finite ring ℤm, m≥2.
We calculate the measure-theoretic entropy and the topological entropy of weakly permutive cellular automata with respect to any invariant measure on the space ℤmℤ.
As an application, it is shown that the uniform Bernoulli measure is the unique maximal measure for linear cellular automata among the Markov measures.
American Psychological Association (APA)
Chang, Chih-Hung& Chen, Yu-Wen. 2013. The Measure-Theoretic Entropy and Topological Entropy of Actions over ℤm. Journal of Mathematics،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-469395
Modern Language Association (MLA)
Chang, Chih-Hung& Chen, Yu-Wen. The Measure-Theoretic Entropy and Topological Entropy of Actions over ℤm. Journal of Mathematics No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-469395
American Medical Association (AMA)
Chang, Chih-Hung& Chen, Yu-Wen. The Measure-Theoretic Entropy and Topological Entropy of Actions over ℤm. Journal of Mathematics. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-469395
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469395