Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map

DOI10.1017/etds.2020.26zbMath1472.37038arXiv1903.02677OpenAlexW3011476087WikidataQ114119234 ScholiaQ114119234MaRDI QIDQ4991753

Tianyu Wang

Publication date: 3 June 2021

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02677

zbMATH Keywords

large deviation principlemultifractal analysisthermodynamical formalism

Mathematics Subject Classification ID

Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items (4)

The K-property for some unique equilibrium states in flows and homeomorphisms ⋮ On multifractal analysis and large deviations of singular hyperbolic attractors ⋮ Anatole Katok ⋮ Beyond Bowen’s Specification Property

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