Finite clusters in high-density continuous percolation: Compression and sphericality

DOI10.1007/BF01199311zbMath0794.60103MaRDI QIDQ1326240

Kenneth S. Alexander

Publication date: 15 August 1994

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

percolationlattice modelsconvex hullBernoulli bond percolationimpurities in materials

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (3)

Percolation clusters as generators for orientation ordering ⋮ Isolation and connectivity in random geometric graphs with self-similar intensity measures ⋮ Continuum percolation and Euclidean minimal spanning trees in high dimensions

Cites Work

• The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
• The probability of a large cluster in supercritical Bernoulli perlocation
• On continuum percolation
• The Russo-Seymour-Welsh theorem and the equality of critical densities and the ``dual critical densities for continuum percolation on \({\mathbb{R}}^ 2\)
• Probability Inequalities for the Sum of Independent Random Variables
• On a continuum percolation model
• Probability Inequalities for Sums of Bounded Random Variables
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