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arxiv: 1004.2129 · v3 · pith:JVA6LUXMnew · submitted 2010-04-13 · 🧮 math.DS · math.GT

Counting visible circles on the sphere and Kleinian groups

classification 🧮 math.DS math.GT
keywords circleskleiniansphereasymptoticcirclecomputecontainedcounting
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For a circle packing P on the sphere invariant under a geometrically finite Kleinian group, we compute the asymptotic of the number of circles in P of spherical curvature at most $T$ which are contained in any given region.

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