Optimization of shape in continuum percolation

DOI10.1214/aop/1008956687zbMath1013.60082OpenAlexW2057852647MaRDI QIDQ1872201

Johan Jonasson

Publication date: 6 May 2003

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

Full work available at URL: https://doi.org/10.1214/aop/1008956687

zbMATH Keywords

triangleconvex setPoisson processBoolean modelcentrally symmetric setdifference-body

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Convex sets in (2) dimensions (including convex curves) (52A10)

Related Items (3)

Strict inequalities of critical values in continuum percolation ⋮ Continuum percolation with steps in an annulus ⋮ Towards a dynamical model for wireless sensor networks

Cites Work

• Unnamed Item
• The difference body of a convex body
• Nonuniversality and continuity of the critical covered volume fraction in continuum percolation
• Nearest neighbor and hard sphere models in continuum percolation

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