Pseudo-Markov systems and infinitely generated Schottky groups

DOI10.1353/AJM.2007.0028zbMath1121.37014OpenAlexW1999820581MaRDI QIDQ5756313

Bernd O. Stratmann, Mariusz Urbański

Publication date: 4 September 2007

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1353/ajm.2007.0028

zbMATH Keywords

thermodynamic formalismHausdorff dimensionconformal measureBowen formulaconformal graph dirceted systemconformal pseudo-Markov system

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fractals (28A80) Thermodynamic formalism, variational principles, equilibrium states for dynamical systems (37D35) Symbolic dynamics (37B10) Dynamical systems involving maps of trees and graphs (37E25) Dimension theory of smooth dynamical systems (37C45) Geometric limits in holomorphic dynamics (37F40)

Related Items (9)

Graph directed Markov systems on Hilbert spaces ⋮ Conditions for Infinitely Generated Kleinian Groups with Small Limit Sets ⋮ Sequences of porous sets and an application to Kleinian Groups ⋮ An explicit construction of Kleinian groups with small limit sets ⋮ Thermodynamic formalism for transient potential functions ⋮ Checking atomicity of conformal ending measures for Kleinian groups ⋮ Transience and multifractal analysis ⋮ ON RANDOM TOPOLOGICAL MARKOV CHAINS WITH BIG IMAGES AND PREIMAGES ⋮ Asymptotic Counting in Conformal Dynamical Systems

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