THERMODYNAMIC FORMALISM METHODS IN ONE-DIMENSIONAL REAL AND COMPLEX DYNAMICS

DOI10.1142/9789813272880_0131zbMath1451.37047arXiv1806.06186OpenAlexW2973019023MaRDI QIDQ5122106

Feliks Przytycki

Publication date: 22 September 2020

Published in: Proceedings of the International Congress of Mathematicians (ICM 2018) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06186

zbMATH Keywords

Lyapunov exponentsthermodynamic formalismharmonic measureequilibrium stateslaw of iterated logarithmHausdorff measuresone-dimensional dynamicsradial growthgeometric pressurevolume lemma

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dynamical systems involving maps of the interval (37E05)

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