Absence of percolation for Poisson outdegree-one graphs

DOI10.1214/19-AIHP998zbMath1434.60055arXiv1610.01938OpenAlexW3012480522MaRDI QIDQ2179627

Simon Le Stum, David Dereudre, David Coupier

Publication date: 13 May 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01938

zbMATH Keywords

percolationstochastic geometrygeometric random graphsmass transport principleLilypond modelline-segment model

Mathematics Subject Classification ID

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

Related Items (4)

SINR percolation for Cox point processes with random powers ⋮ Absence of percolation in graphs based on stationary point processes with degrees bounded by two ⋮ Deterministic walk on Poisson point process ⋮ Existence and percolation results for stopped germ-grain models with unbounded velocities

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