On the absence of percolation in a line-segment based lilypond model
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Publication:5963212
DOI10.1214/14-AIHP638zbMath1335.60182arXiv1301.7279OpenAlexW1541847135MaRDI QIDQ5963212
Publication date: 4 March 2016
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/1301.7279
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35)
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Alignment percolation ⋮ Absence of percolation for Poisson outdegree-one graphs ⋮ Absence of percolation in graphs based on stationary point processes with degrees bounded by two ⋮ Random nearest neighbor graphs: the translation invariant case ⋮ Deterministic walk on Poisson point process
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