Percolation in the Boolean model with convex grains in high dimension

DOI10.1214/23-ejp997zbMath1528.60097arXiv2012.04370OpenAlexW3111683337MaRDI QIDQ6177569

Jean-Baptiste Gouéré, Florestan Labéy

Publication date: 17 January 2024

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04370

zbMATH Keywords

Boolean modelcontinuum percolationhigh dimension

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Cites Work

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• Nonoptimality of constant radii in high dimensional continuum percolation
• Oriented percolation in two dimensions
• Continuum percolation in high dimensions
• A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
• Continuum percolation and Euclidean minimal spanning trees in high dimensions
• A central limit theorem for convex sets
• The Brunn-Minkowski inequality
• Continuum Percolation
• Continuum percolation with steps in the square or the disc
• Lectures on the Poisson Process

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