Orders of accumulation of entropy on manifolds

DOI10.1007/S11854-011-0015-XzbMath1248.54012arXiv0912.1783OpenAlexW1993157876MaRDI QIDQ415768

Kevin McGoff

Publication date: 9 May 2012

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1783

zbMATH Keywords

entropyupper semicontinuitydynamical systemmeasureChoquet simplexprincipal extensionblow-and-sew constructionblown-up mapcandidate sequenceextension entropy functionharmonic candidate sequenceorder of accumulation of candidate sequenceorder of accumulation of entropytotally ergodic measuretransitive sequences

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Entropy in general topology (54C70)

Related Items (1)

Symbolic extensions and continuity properties of the entropy

Cites Work

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• \(\mathcal{C}^{2}\) surface diffeomorphisms have symbolic extensions
• Entropy structure
• Smooth interval maps have symbolic extensions
• Intrinsic ergodicity of smooth interval maps
• Possible entropy functions
• Symbolic extensions and smooth dynamical systems
• The entropy theory of symbolic extensions
• Examples of \({\mathcal C}^r\) interval map with large symbolic extension entropy
• Symbolic extensions and partially hyperbolic diffeomorphisms
• Orders of accumulation of entropy
• Residual entropy, conditional entropy and subshift covers
• Topological conditional entropy
• Hyperbolic sets exhibiting $C^1$-persistent homoclinic tangency for higher dimensions
• Entropy-Expansive Maps
• Lectures on Choquet's theorem

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