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Isoperimetric constants for conservative Fuchsian groups

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Publication:2574393
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DOI10.2996/kmj/1123767010zbMath1088.30041OpenAlexW2003893607MaRDI QIDQ2574393

Katsuhiko Matsuzaki

Publication date: 21 November 2005

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1123767010


zbMATH Keywords

critical exponentLaplace-Beltrami operatorFuchsian grouphorocyclic limit set


Mathematics Subject Classification ID

Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)


Related Items (8)

On quasiconformal invariance of convergence and divergence types for Fuchsian groups ⋮ Critical exponents of invariant random subgroups in negative curvature ⋮ Ergodic properties of boundary actions and the Nielsen-Schreier theory ⋮ Large and small covers of a hyperbolic manifold ⋮ Isoperimetric inequalities in Riemann surfaces and graphs ⋮ Quasi-isometries and isoperimetric inequalities in planar domains ⋮ The critical exponent, the Hausdorff dimension of the limit set and the convex core entropy of a Kleinian group ⋮ Planar Riemann surfaces with uniformly distributed cusps: parabolicity and hyperbolicity




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