Thermodynamic formalism methods in the theory of iteration of mappings in dimension one, real and complex
DOI10.2478/amsil-2020-0023zbMath1476.37053OpenAlexW3117993557MaRDI QIDQ2035009
Publication date: 23 June 2021
Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/amsil-2020-0023
Lyapunov exponentsthermodynamic formalismHausdorff dimensionequilibrium statesone-dimensional dynamicsgeometric pressure
Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) 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) Dynamical systems involving maps of the interval (37E05) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)
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