Percolation in an ultrametric space

DOI10.1214/EJP.V18-1789zbMath1282.05196arXiv1006.4400OpenAlexW2012910612MaRDI QIDQ388850

Donald A. Dawson, Louis G. Gorostiza

Publication date: 17 January 2014

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

Full work available at URL: https://arxiv.org/abs/1006.4400

zbMATH Keywords

percolationinfinite clusterultrametric spaces

Mathematics Subject Classification ID

Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Combinatorial probability (60C05) Percolation (82B43)

Related Items (7)

Inhomogeneous long-range percolation on the hierarchical lattice ⋮ Double-exponential susceptibility growth in Dyson’s hierarchical model with |x − y|−2 interaction ⋮ The critical two-point function for long-range percolation on the hierarchical lattice ⋮ Uniqueness of the infinite component for percolation on a hierarchical lattice ⋮ Transience and recurrence of random walks on percolation clusters in an ultrametric space ⋮ SIR epidemics on a scale-free spatial nested modular network ⋮ Random systems in ultrametric spaces

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