A percolating hard sphere model | Zendy

Cotar Codina | Zendy; Holroyd Alexander E. | Zendy; Revelle David | Zendy

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A percolating hard sphere model

Author(s) -

Cotar Codina,

Holroyd Alexander E.,

Revelle David

Publication year - 2009

Publication title -

random structures and algorithms

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.314

H-Index - 69

eISSN - 1098-2418

pISSN - 1042-9832

DOI - 10.1002/rsa.20230

Subject(s) - struct , spheres , invariant (physics) , dimension (graph theory) , homogeneous , poisson distribution , mathematics , poisson point process , point (geometry) , translation (biology) , point process , pure mathematics , statistical physics , combinatorics , physics , geometry , computer science , mathematical physics , statistics , biochemistry , chemistry , astronomy , messenger rna , gene , programming language

Given a homogeneous Poisson point process in ℝ d , Häggström and Meester (Random Struct Algorithms 9 (1996) 295–315) asked whether it is possible to place spheres (of differing radii) centred at the points, in a translation‐invariant way, so that the spheres do not overlap but there is an unbounded component of touching spheres. We prove that the answer is yes in sufficiently high dimension. © 2008 Wiley Periodicals, Inc. Random Struct. Alg., 2009

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