Brin-Katok formula for the measure theoretic \(r\)-entropy

DOI10.1016/J.CRMA.2014.04.005zbMath1352.37020OpenAlexW2007784318MaRDI QIDQ460709

Ercai Chen, Longnian Zhou, Xiaoyao Zhou

Publication date: 14 October 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.04.005

zbMATH Keywords

entropyBrin-Katok formula

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35)

Related Items (5)

Topological \(r\)-entropy and measure theoretic \(r\)-entropy of flows ⋮ Topological \(R\)-entropy and topological entropy of free semigroup actions ⋮ Entropy formulae of conditional entropy in mean metrics ⋮ Topological \(r\)-entropy and measure theoretic \(r\)-entropy for amenable group actions ⋮ The Brin–Katok formula for dynamical systems admitting mistakes

Cites Work

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• The irregular set for maps with the specification property has full topological pressure
• TOPOLOGICAL PRESSURE OF THE SET OF GENERIC POINTS FOR Zd-ACTIONS
• A variational principle for topological pressure for certain non-compact sets
• On the topological entropy of saturated sets

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