Spatial Statistics of Apollonian Gaskets

Autor:	Chen, Weiru, Jiao, Mo, Kessler, Calvin, Malik, Amita, Zhang, Xin
Rok vydání:	2017
Předmět:	Mathematics - Metric Geometry Mathematical Physics Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	Apollonian gaskets are formed by repeatedly filling the interstices between four mutually tangent circles with further tangent circles. We experimentally study the pair correlation, electrostatic energy, and nearest neighbor spacing of centers of circles from Apollonian gaskets. Even though the centers of these circles are not uniformly distributed in any `ambient' space, after proper normalization, all these statistics seem to exhibit some interesting limiting behaviors. Comment: 8 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1705.06212 Zobrazit plný text záznamu View this record from Arxiv