Constructing restricted Patterson measures for geometrically infinite Kleinian groups

DOI10.1007/S10114-005-0626-1zbMath1104.30030OpenAlexW1968005099MaRDI QIDQ2508557

Bernd O. Stratmann, Kurt Falk

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://boris.unibe.ch/117860/1/10114_2005_Article_626.pdf

zbMATH Keywords

Hausdorff dimensionKleinian groupPatterson measure

Mathematics Subject Classification ID

Conformal densities and Hausdorff dimension for holomorphic dynamical systems (37F35) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

Related Items (1)

On quasiconformal invariance of convergence and divergence types for Fuchsian groups

Cites Work

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• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• The density at infinity of a discrete group of hyperbolic motions
• A finiteness theorem for cusps
• The limit set of a Fuchsian group
• Hausdorff dimension and Kleinian groups
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Fractal dimensions for Jarník limit sets of geometrically finite Kleinian groups; the semi-classical approach
• On Sullivan's conformal measures for rational maps of the Riemann sphere
• Discrete conformal groups and measurable dynamics
• On the Existence of Conformal Measures
• Ends of Hyperbolic 3-Manifolds
• The Patterson Measure for Geometrically Finite Groups with Parabolic Elements, New and Old
• The geometry of conformal measures for parabolic rational maps
• The Exponent of Convergence of Poincaré Series

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