Nonoptimality of constant radii in high dimensional continuum percolation

DOI10.1214/14-AOP974zbMath1342.60167arXiv1409.7331OpenAlexW2963732343MaRDI QIDQ272956

Régine Marchand, Jean-Baptiste Gouéré

Publication date: 21 April 2016

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7331

zbMATH Keywords

continuum percolationcritical covered volumenormalized critical intensitytwo-type Boolean model

Mathematics Subject Classification ID

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

Related Items (3)

Continuum percolation in high dimensions ⋮ Percolation in the Boolean model with convex grains in high dimension ⋮ Criticality and covered area fraction in confetti and Voronoi percolation

Cites Work

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• Subcritical regimes in the Poisson Boolean model of continuum percolation
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• Nonuniversality and continuity of the critical covered volume fraction in continuum percolation
• Monte Carlo renormalization group study of the percolation problem of discs with a distribution of radii
• Continuum Percolation
• Percolation in a multiscale Boolean model
• On the connectivity properties of the complementary set in fractal percolation models

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