Counting visible circles on the sphere and Kleinian groups

DOI10.1017/cbo9781316275849.009zbMath1368.52013arXiv1004.2129OpenAlexW1704642207MaRDI QIDQ2973844

Nimish A. Shah, Hee Oh

Publication date: 5 April 2017

Full work available at URL: https://arxiv.org/abs/1004.2129

zbMATH Keywords

asymptotic distributionspherecircle packingKleinian groupsvisible circles

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Combinatorial aspects of packing and covering (05B40)

Related Items (11)

Counting problems for special-orthogonal Anosov representations ⋮ Torus counting and self-joinings of Kleinian groups ⋮ Counting common perpendicular arcs in negative curvature ⋮ Distribution of the periodic points of the Farey map ⋮ The asymptotic distribution of circles in the orbits of Kleinian groups ⋮ Counting and equidistribution in Heisenberg groups ⋮ Equidistribution and counting for orbits of geometrically finite hyperbolic groups ⋮ Asymptotic Counting in Conformal Dynamical Systems ⋮ On the arithmetic of cross-ratios and generalised Mertens' formulas ⋮ On the hyperbolic orbital counting problem in conjugacy classes ⋮ Circle packings, kissing reflection groups and critically fixed anti-rational maps

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