The Poincaré series and the conformal measure of conical and Myrberg limit points

DOI10.1007/BF02835956zbMath0799.30035MaRDI QIDQ1326664

Pekka Tukia

Publication date: 22 November 1994

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Poincaré seriesconical limit pointsHausdorff measurePatterson-Sullivan measurehyperbolic metricconformal measureline transitive pointsMyrberg points

Mathematics Subject Classification ID

Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40) Ergodic theory (37A99) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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Cites Work

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• A geometric proof of Mostow's rigidity theorem for groups of divergence type
• On P. J. Myrberg's approximation theorem for some Kleinian groups
• The density at infinity of a discrete group of hyperbolic motions
• The limit set of a Fuchsian group
• Limit points of Kleinian groups and finite sided fundamental polyhedra
• Ein Approximationssatz für die Fuchsschen Gruppen
• Discrete Quasiconformal Groups I

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