Long range percolation in stationary point processes

DOI10.1002/rsa.3240040205zbMath0768.60095OpenAlexW2043830550MaRDI QIDQ4696227

Ronald W. J. Meester, Robert M. jun. Burton

Publication date: 29 June 1993

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.3240040205

zbMATH Keywords

phase transitionstationary point processcontinuum percolation modelcritical parameter value of a process

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

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Recurrence versus transience for weight-dependent random connection models ⋮ Stationary straight-line representations of stationary random graphs ⋮ Random walk on the random connection model ⋮ Uniqueness in percolation theory ⋮ The cone percolation on \(\mathbb{T}_{d}\) ⋮ Anisotropy in finite continuum percolation: threshold estimation by Minkowski functionals ⋮ The random connection model and functions of edge-marked Poisson processes: second order properties and normal approximation ⋮ The disk-percolation model on graphs ⋮ Simultaneous uniqueness of infinite clusters in stationary random labeled graphs ⋮ High density asymptotics of the Poisson random connection model

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