A formula of conditional entropy and some applications

DOI10.3934/DCDS.2016.36.4063zbMath1358.37024OpenAlexW2317663652MaRDI QIDQ262076

Xiaomin Zhou

Publication date: 29 March 2016

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.4063

zbMATH Keywords

disintegrationconditional entropylocal entropyBowen entropysub-\(\sigma\)-algebra

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40)

Related Items (6)

Entropy formulae of conditional entropy in mean metrics ⋮ On relative metric mean dimension with potential and variational principles ⋮ On Feldman–Katok metric and entropy formulas ⋮ Preimage entropy and stable entropy on subsets ⋮ Local pressure of subsets and measures ⋮ Restricted sensitivity, return time and entropy in Feldman–Katok and mean metrics

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Variational principles for topological entropies of subsets
• Stable sets and mean Li-Yorke chaos in positive entropy systems
• Stable sets and \(\epsilon\)-stable sets in positive-entropy systems
• Fiber entropy and conditional variational principles in compact non-metrizable spaces
• Dimensions of stable sets and scrambled sets in positive finite entropy systems
• A Relativised Variational Principle for Continuous Transformations
• Topological Entropy for Noncompact Sets
• Topological Entropy
• Topological Entropy Bounds Measure-Theoretic Entropy
• Relating Topological Entropy and Measure Entropy
• A note on the entropy of factors of random dynamical systems
• Ergodic Theory

This page was built for publication: A formula of conditional entropy and some applications