Giant component of the soft random geometric graph

DOI10.1214/22-ECP491MaRDI QIDQ2090745

Mathew D. Penrose

Publication date: 31 October 2022

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

Full work available at URL: https://arxiv.org/abs/2204.10219

zbMATH Keywords

continuum percolationrandom connection modelsoft random geometric graph

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05)

Related Items (1)

On the first and second largest components in the percolated random geometric graph

Cites Work

• Connectivity of soft random geometric graphs
• Domination by product measures
• The random connection model in high dimensions
• Continuum percolation and Euclidean minimal spanning trees in high dimensions
• Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs
• Random Geometric Graphs
• Continuum Percolation
• Lectures on the Poisson Process

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