Puzzles of quasi-finite type, zeta functions and symbolic dynamics for multi-dimensional maps

DOI10.5802/aif.2540zbMath1207.37009arXivmath/0610911OpenAlexW2952424201MaRDI QIDQ983143

Jérôme Buzzi

Publication date: 3 August 2010

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610911

zbMATH Keywords

entropycomplexitypuzzletopological dynamicssymbolic dynamicsperiodic pointsmeromorphic extensionsergodic theorynon-uniform hyperbolicitymeasures of maximal entropyArtin-Mazur zeta functioncountable state topological Markov chainsentropy-conjugacyentropy-expanding transformationsstable positive recurrence

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Topological entropy (37B40) Symbolic dynamics (37B10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Related Items

Entropy in the cusp and phase transitions for geodesic flows ⋮ Escape of entropy for countable Markov shifts ⋮ Pressure at infinity and strong positive recurrence in negative curvature ⋮ Symbolic dynamics for surface diffeomorphisms with positive entropy ⋮ Measures of maximal entropy for surface diffeomorphisms

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