The Hausdorff dimension of limit sets of fuchsian groups of the type ( g;m)

DOI10.1017/S0305004100063337zbMath0569.30035MaRDI QIDQ3686975

Harushi Furusawa

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

limit setHausdorff dimensionFuchsian groupsquasiconformal deformations

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• Unnamed Item
• The limit set of deformations of some Fuchsian groups
• The exponent of convergence of Poincaré series on some Kleinian groups
• The Hausdorff dimension of limit sets of some Fuchsian groups
• The limit set of a Fuchsian group
• The exponent of convergence of Poincaré series
• Further remarks on the exponent of convergence of Poincaré series
• Inequalities for certain Fuchsian groups
• Local property of the singular sets of some Kleinian groups
• Uniformization by Beltrami equations