Mathematics – Dynamical Systems
Scientific paper
2010-06-14
Mathematics
Dynamical Systems
To appear in the Proceedings of ICM, 2010
Scientific paper
We present recent results on counting and distribution of circles in a given
circle packing invariant under a geometrically finite Kleinian group and
discuss how the dynamics of flows on geometrically finite hyperbolic $3$
manifolds are related. Our results apply to Apollonian circle packings,
Sierpinski curves, Schottky dances, etc.
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