The random connection model in high dimensions

DOI10.1016/S0167-7152(97)00008-4zbMath0897.60096MaRDI QIDQ1373984

Mathew D. Penrose, Anish Sarkar, Ronald W. J. Meester

Publication date: 11 October 1998

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

zbMATH Keywords

extinction probabilitycontinuum percolationrandom connection modelcritical intensityhigh dimension asymptotics

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (8)

Transience Versus Recurrence for Scale-Free Spatial Networks ⋮ Recurrence versus transience for weight-dependent random connection models ⋮ The emergence of a giant component in one-dimensional inhomogeneous networks with long-range effects ⋮ Strict inequalities of critical values in continuum percolation ⋮ Continuum percolation with unreliable and spread-out connections ⋮ Cluster Expansions for GIBBS Point Processes ⋮ Continuum percolation and Euclidean minimal spanning trees in high dimensions ⋮ Giant component of the soft random geometric graph

Cites Work

• On the spread-out limit for bond and continuum percolation
• Continuum percolation and Euclidean minimal spanning trees in high dimensions
• On a continuum percolation model
• Nearest neighbor and hard sphere models in continuum percolation
• Equality of critical densities in continuum percolation
• Continuum Percolation
• Unnamed Item
• Unnamed Item

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