Eternal Family Trees and dynamics on unimodular random graphs

DOI10.1090/conm/719/14471zbMath1423.60020arXiv1608.05940OpenAlexW2710144867MaRDI QIDQ5236806

Ali Khezeli, François Baccelli, Mir-Omid Haji-Mirsadeghi

Publication date: 16 October 2019

Published in: Unimodularity in Randomly Generated Graphs (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.05940

zbMATH Keywords

criticalitynetworksfoliationdynamical systembranching processstable manifoldinfinite graphslocal weak convergencepoint-shiftoffspring-invariance

Mathematics Subject Classification ID

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

Related Items (10)

Metrization of the Gromov-Hausdorff (-Prokhorov) topology for boundedly-compact metric spaces ⋮ Compact graphings ⋮ Fractal dimension of discrete sets and percolation ⋮ Doeblin trees ⋮ Invariant embeddings of unimodular random planar graphs ⋮ Renewal processes, population dynamics, and unimodular trees ⋮ Route lengths in invariant spatial tree networks ⋮ Shift-coupling of random rooted graphs and networks ⋮ Unimodular Hausdorff and Minkowski dimensions ⋮ Counter examples to invariant circle packing

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