顺从群作用系统中一扩充映射的熵

Abstract

Abstract:

The study of group actions and the corresponding entropy theory in topological spaces is very important in mathematical physics and topology. Factor map is a key concept in the study of the structural theory of measure preserving dynamical systems. Conditional entropy, on the other hand, quantitatively characterises the complexity of factor map. In this paper, we calculate the conditional entropy of a class of extended maps in the dynamical system for amenable group actions, and its value is zero.

Key words: entropy, dynamical system, group action, amenable group, extended map

CLC Number:

O193

Yuan Lian, Hongjun Liu. An Entropy of an Extended Map of Amenable Group Actions[J].Acta mathematica scientia,Series A, 2026, 46(1): 359-365.

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References 35

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An Entropy of an Extended Map of Amenable Group Actions

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