Stationary Apollonian Packings

• Published in: Journal of statistical physics Vol. 161; no. 1; pp. 35 - 72
• Main Authors: Hirsch, Christian, Delaney, Gary, Schmidt, Volker
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.10.2015; Springer
• Subjects: Mathematical and Computational Physics; Physical Chemistry; Physics; Physics and Astronomy; Quantum Physics; Statistical Physics and Dynamical Systems; Theoretical; 60D05; Growth model; Fractal germ-grain model; 28A80; Dense packing; 05C70; Continuum percolation

The notion of stationary Apollonian packings in the d -dimensional Euclidean space is introduced as a mathematical formalization of so-called random Apollonian packings and rotational random Apollonian packings, which constitute popular grain packing models in physics. Apart from dealing with issues...