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Topological \(r\)-entropy and measure theoretic \(r\)-entropy of flows

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Publication:2131154
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DOI10.1007/s10114-022-0573-0zbMath1497.37021OpenAlexW4210703673MaRDI QIDQ2131154

Yunping Wang, Yong Ji

Publication date: 25 April 2022

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-022-0573-0


zbMATH Keywords

flowtopological \(r\)-entropymeasure theoretic \(r\)-entropy


Mathematics Subject Classification ID

Entropy and other invariants (28D20) Topological entropy (37B40)




Cites Work

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  • Brin-Katok formula for the measure theoretic \(r\)-entropy
  • Topological \(r\)-entropy and measure-theoretic \(r\)-entropy of a continuous map
  • On large deviations for amenable group actions
  • Two notes on measure-theoretic entropy of random dynamical systems
  • r-entropy, equipartition, and Ornstein's isomorphism theorem in \(\mathbb{R}^n\)
  • Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
  • Bowen entropy for fixed-point free flows
  • Bowen entropy for actions of amenable groups
  • Entropy of orthonormaln-frame flows
  • Entropy of a Flow on Non-compact Sets
  • ON LOCAL ENTROPY OF RANDOM TRANSFORMATIONS
  • Entropy for Group Endomorphisms and Homogeneous Spaces


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