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arxiv: 1509.02989 · v1 · submitted 2015-09-10 · 🧮 math.NT · math.DS

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Gap Distributions in Circle Packings

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classification 🧮 math.NT math.DS
keywords circlepackingsautomorphicclasscombinationdeterminedistributiondistributions
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We determine the distribution of nearest neighbour spacings between the tangencies to a fixed circle in a class of circle packings generated by reflections. We use a combination of geometric tools and the theory of automorphic forms.

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