Remarks on Hausdorff dimensions for transient limits sets of Kleinian groups

DOI10.2748/tmj/1113246751zbMath1069.30070OpenAlexW2008880142MaRDI QIDQ1772210

Bernd O. Stratmann, Kurt Falk

Publication date: 15 April 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246751

zbMATH Keywords

exponent of convergenceKleinian groupsfractal geometry

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 (14)

On horospheric limit sets of Kleinian groups ⋮ Fractal models for normal subgroups of Schottky groups ⋮ Conformal fractals for normal subgroups of free groups ⋮ Sequences of porous sets and an application to Kleinian Groups ⋮ Growth and cogrowth of normal subgroups of a free group ⋮ An explicit construction of Kleinian groups with small limit sets ⋮ Checking atomicity of conformal ending measures for Kleinian groups ⋮ Transience and multifractal analysis ⋮ Large and small covers of a hyperbolic manifold ⋮ A lower bound for the exponent of convergence of normal subgroups of Kleinian groups ⋮ Dimensions of limit sets of Kleinian groups ⋮ Normalizer, divergence type, and Patterson measure for discrete groups of the Gromov hyperbolic space ⋮ The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group ⋮ Thermodynamic formalism for transient dynamics on the real line

Cites Work

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• Kleinian groups with singly cusped parabolic fixed points
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