Entropy and Poincaré recurrence from a geometrical viewpoint

DOI10.1088/0951-7715/22/10/003zbMath1177.37023arXiv0809.2938OpenAlexW3103764604MaRDI QIDQ3183661

Paulo Varandas

Publication date: 20 October 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2938

zbMATH Keywords

metric entropyPoincaré recurrencereturn time

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamical systems with hyperbolic behavior (37D99)

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Entry times distribution for mixing systems ⋮ On Measure Chaotic Dynamical Systems ⋮ Entry times distribution for dynamical balls on metric spaces ⋮ On the generic behavior of the metric entropy, and related quantities, of uniformly continuous maps over Polish metric spaces ⋮ Extreme value laws in dynamical systems for non-smooth observations ⋮ Weak Gibbs measures: speed of convergence to entropy, topological and geometrical aspects ⋮ Gluing orbit property and partial hyperbolicity ⋮ Quantitative recurrence for free semigroup actions ⋮ Entry and return times distribution ⋮ Generic properties of invariant measures of full-shift systems over perfect Polish metric spaces ⋮ Eulerian entropy and non-repetitive subword complexity ⋮ Restricted sensitivity, return time and entropy in Feldman–Katok and mean metrics

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