13 citations · 20 across the 8 of their papers we have counts for
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math.DS2017
Statistical Regularity of Apollonian Gaskets
Xin Zhang
Apollonian gaskets are formed by repeatedly filling the gaps between three mutually tangent circles with further tangent circles. In this paper we give explicit formulas for the th…
math.NT2017★ 13 cited
Local-global principles in circle packings
Elena Fuchs, Katherine E. Stange, Xin Zhang
We generalize work of Bourgain-Kontorovich and Zhang, proving an almost local-to-global property for the curvatures of certain circle packings, to a large class of Kleinian groups.…
math.MG2017
Spatial Statistics of Apollonian Gaskets
Weiru Chen, Mo Jiao, Calvin Kessler +2
Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the pair correlation…