Equilibrium measures for the Hénon map at the first bifurcation: uniqueness and geometric/statistical properties

DOI10.1017/etds.2014.61zbMath1354.37039arXiv1209.2224OpenAlexW3106446593MaRDI QIDQ2793107

Hiroki Takahashi, Samuel Senti

Publication date: 15 March 2016

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

Full work available at URL: https://arxiv.org/abs/1209.2224

zbMATH Keywords

thermodynamic formalismhyperbolicityHénon mapsinvariant probability measure

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25)

Related Items

Birkhoff spectrum for Hénon-like maps at the first bifurcation ⋮ Removal of phase transition in the Chebyshev quadratic and thermodynamics for Hénon-like maps near the first bifurcation ⋮ Building thermodynamics for non-uniformly hyperbolic maps ⋮ Thermodynamics of the Katok map ⋮ Lyapunov spectrum for Hénon-like maps at the first bifurcation ⋮ Thermodynamic formalism for interval maps: inducing schemes ⋮ Equilibrium Measures at Temperature Zero for Hénon-Like Maps at the First Bifurcation ⋮ Thermodynamics of towers of hyperbolic type ⋮ Equilibrium states for Mañé diffeomorphisms ⋮ Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map

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