Large deviation principles of one-dimensional maps for Hölder continuous potentials

DOI10.1017/etds.2014.55zbMath1354.37038arXiv1307.6433OpenAlexW2161865295MaRDI QIDQ2793102

Huaibin Li

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/1307.6433

zbMATH Keywords

hyperbolicityBirkhoff averagesone-dimensional mapsdeviation principle

Mathematics Subject Classification ID

Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamical systems involving maps of the interval (37E05)

Related Items (2)

Statistical properties of periodic points for infinitely renormalizable unimodal maps ⋮ Large deviation principle in one-dimensional dynamics

Cites Work

• On non-uniform hyperbolicity assumptions in one-dimensional dynamics
• Large deviations and the distribution of pre-images of rational maps
• Large deviation principle for Benedicks-Carleson quadratic maps
• Large deviations for non-uniformly expanding maps
• Large derivatives, backward contraction and invariant densities for interval maps
• Large deviations, fluctuations and shrinking intervals
• Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
• A characterization of hyperbolic potentials of rational maps
• Equilibrium states of weakly hyperbolic one-dimensional maps for Hölder potentials
• Large deviation principles for non-uniformly hyperbolic rational maps
• On the Perron-Frobenius-ruelle operator for rational maps on the riemann sphere and for Hölder continuous functions
• Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials
• Large deviations for intermittent maps
• A connecting lemma for rational maps satisfying a no-growth condition
• REMARKS ON LARGE DEVIATION FOR RATIONAL MAPS ON THE RIEMANN SPHERE
• Large deviations for nonuniformly hyperbolic systems
• Large and moderate deviations for slowly mixing dynamical systems
• Large deviations for maps with indifferent fixed points
• Equilibrium states for S-unimodal maps
• Large deviations in non-uniformly hyperbolic dynamical systems
• Dynamics in One Complex Variable. (AM-160)
• Ergodic theory of equilibrium states for rational maps

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