Results 171 to 180 of about 10,443 (222)

Scale-free dynamics and critical phenomena in cortical activity. [PDF]

open access: yesFront Physiol, 2013
Boonstra TW, He BJ, Daffertshofer A.
europepmc   +1 more source

The Apollonian Staircase

open access: yesInternational Mathematics Research Notices, 2022
A circle of curvature $n\in \mathbb{Z}^+$ is a part of finitely many primitive integral Apollonian circle packings. Each such packing has a circle of minimal curvature $-c\leq 0$, and we study the distribution of $c/n$ across all primitive integral ...
James Rickards
semanticscholar   +4 more sources
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Stationary Apollonian Packings

Journal of Statistical Physics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hirsch, Christian   +2 more
openaire   +4 more sources

The residual set dimension of a generalized apollonian packing

Geometriae Dedicata, 2023
We view space-filling circle packings as subsets of the boundary of hyperbolic space subject to symmetry conditions based on a discrete group of isometries.
Daniel Lautzenheiser
semanticscholar   +1 more source

Type-II Apollonian Model

arXiv.org, 2023
The family of planar graphs is a particularly important family and models many real-world networks. In this paper, we propose a principled framework based on the widely-known Apollonian packing process to generate new planar network, i.e., Type-II ...
Fei Ma   +4 more
semanticscholar   +1 more source

THREE-DIMENSIONAL APOLLONIAN NETWORKS

International Journal of Modern Physics C, 2006
We discuss the three-dimensional Apollonian network introduced by Andrade et al.1 for the two-dimensional case. These networks are simultaneously scale-free, small world, Euclidean, space-filling and matching graphs and have a wide range of applications going from the description of force chains in polydisperse granular packings to the geometry of ...
Soares, Danyel J. B.   +3 more
openaire   +2 more sources

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