Geometry of the Poisson Boolean model on a region of logarithmic width in the plane

DOI10.1239/aap/1316792662zbMath1227.60109OpenAlexW2008308097MaRDI QIDQ3172997

Anish Sarkar, Amites Dasgupta, Rahul K. Roy

Publication date: 10 October 2011

Published in: Advances in Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1239/aap/1316792662

zbMATH Keywords

percolationPoisson point processBoolean modelcoverage

Mathematics Subject Classification ID

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

Cites Work

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• Percolation
• Random Geometric Graphs
• Coverage of the whole space
• On the coverage of space by random sets
• Bond percolation on subsets of the square lattice, and the threshold between one-dimensional and two-dimensional behaviour
• Continuum Percolation
• Behavior of the supercritical phase of a continuum percolation model on ℝ^d
• A generalization of the Borel-Cantelli lemma

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