Spatial Statistics of Apollonian Gaskets

DOI10.1080/10586458.2017.1385037zbMath1421.52027arXiv1705.06212OpenAlexW2964021215MaRDI QIDQ5228841

Weiru Chen, Amita Malik, Xin Zhang, Mo Jiao, Calvin Kessler

Publication date: 13 August 2019

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.06212

zbMATH Keywords

spatial statisticspair correlationApollonian gaskets

Mathematics Subject Classification ID

Circle packings and discrete conformal geometry (52C26)

Cites Work

• Unnamed Item
• The asymptotic distribution of circles in the orbits of Kleinian groups
• The asymptotic distribution of lattice points in Euclidean and non-Euclidean spaces
• Apollonian circle packings: Number theory
• The gap distribution of directions in some Schottky groups
• Gaps in \(\sqrt{n}\bmod 1\) and ergodic theory
• The distribution of gaps for saddle connection directions
• On the pair correlation density for hyperbolic angles
• A conjecture of R. R. Hall on Farey points
• The h-spacing distribution between Farey points
• The gap distribution of slopes on the golden L
• Pair correlation of hyperbolic lattice angles
• Angles in hyperbolic lattices: The pair correlation density
• Apollonian circle packings and closed horospheres on hyperbolic 3-manifolds
• A proof of the positive density conjecture for integer Apollonian circle packings
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• The Distribution of Gaps for Saddle Connections on the Octagon
• The Distribution of Directions in an Affine Lattice: Two-Point Correlations and Mixed Moments
• A Note on Farey Series
• On the correlations of directions in the Euclidean plane
• Gap Distributions in Circle Packings

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