The geometry of Baire spaces

DOI10.1080/14689367.2011.628010zbMath1246.37073OpenAlexW2097494988MaRDI QIDQ3106387

Mariusz Urbański, Tushar Das

Publication date: 21 December 2011

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2011.628010

zbMATH Keywords

rigidityBaire spacescaling functionsGibbs measuresiterated function systems\(C^{1+\varepsilon }\)-conjugacyexponential geometry

Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35)

Cites Work

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• Analytic families of holomorphic iterated function systems
• Dimensions and Measures in Infinite Iterated Function Systems
• Thermodynamic formalism for countable Markov shifts
• Gibbs states on the symbolic space over an infinite alphabet

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