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Two notes on measure-theoretic entropy of random dynamical systems

Authors :
Yujun Zhu
Source :
Acta Mathematica Sinica, English Series. 25:961-970
Publication Year :
2009
Publisher :
Springer Science and Business Media LLC, 2009.

Abstract

In this paper, Brin-Katok local entropy formula and Katok’s definition of the measure-theoretic entropy using spanning set are established for the random dynamical system over an invertible ergodic system.

Subjects

Subjects :
Mathematics::Dynamical Systems
Applied Mathematics
General Mathematics
Measure-preserving dynamical system
Maximum entropy thermodynamics
Differential entropy
Combinatorics
Rényi entropy
Maximum entropy probability distribution
Statistical physics
Random dynamical system
Joint quantum entropy
Entropy rate
Mathematics

Details

ISSN :
14397617 and 14398516
Volume :
25
Database :
OpenAIRE
Journal :
Acta Mathematica Sinica, English Series
Accession number :
edsair.doi...........2e9ee272ab1a1f0fcd928ae7263c58e2

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Authors Abstract Subjects Details