Percolation phase transition in weight-dependent random connection models

DOI10.1017/APR.2021.13zbMath1475.60198arXiv2003.04040OpenAlexW3216486609MaRDI QIDQ5013248

Peter Mörters, Lukas Lüchtrath, Peter Gracar

Publication date: 29 November 2021

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

Full work available at URL: https://arxiv.org/abs/2003.04040

zbMATH Keywords

robustnessBoolean modelrandom geometric graphspatial networklong-range percolationsubcritical regimescale-free percolationage-based spatial preferential attachment

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (8)

Graph distances in scale-free percolation: the logarithmic case ⋮ Transience Versus Recurrence for Scale-Free Spatial Networks ⋮ Spatial networks and percolation. Abstracts from the workshop held January 17--23, 2021 (hybrid meeting) ⋮ Recurrence versus transience for weight-dependent random connection models ⋮ Chemical distance in geometric random graphs with long edges and scale-free degree distribution ⋮ The emergence of a giant component in one-dimensional inhomogeneous networks with long-range effects ⋮ Recurrence and transience of symmetric random walks with long-range jumps ⋮ Distance evolutions in growing preferential attachment graphs

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