Equilibrium states of interval maps for hyperbolic potentials

DOI10.1088/0951-7715/27/8/1779zbMath1305.37015arXiv1210.6952OpenAlexW2963132867MaRDI QIDQ2877442

Huaibin Li, Juan Rivera-Letelier

Publication date: 22 August 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6952

zbMATH Keywords

thermodynamic formalismJulia setconformal measurehyperbolic potentialmultimodal interval mapsequlibrium statesKeller spaces

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 maps of the interval (37E05)

Related Items (10)

Building thermodynamics for non-uniformly hyperbolic maps ⋮ Sensitive dependence of geometric Gibbs states at positive temperature ⋮ Exponential rate of decay of correlations of equilibrium states associated with non-uniformly expanding circle maps ⋮ Geometric pressure for multimodal maps of the interval ⋮ Equilibrium states of weakly hyperbolic one-dimensional maps for Hölder potentials ⋮ STOCHASTIC POTENTIALS OF INTERMITTENT MAPS ⋮ Thermodynamic formalism for interval maps: inducing schemes ⋮ Equilibrium state for one-dimensional Lorenz-like expanding maps ⋮ An optimal transportation approach to the decay of correlations for non-uniformly expanding maps ⋮ Pesin theory and equilibrium measures on the interval

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