Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution
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Publication:2030393
DOI10.1007/s00222-020-01011-3OpenAlexW3094160916WikidataQ115608941 ScholiaQ115608941MaRDI QIDQ2030393
Jonathan Hermon, Tom Hutchcroft
Publication date: 7 June 2021
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.10448
Random graphs (graph-theoretic aspects) (05C80) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)
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Homology-changing percolation transitions on finite graphs, Symmetry breaking in two-dimensional square grids: persistence and failure of the dimensional crossover, Slightly supercritical percolation on non‐amenable graphs I: The distribution of finite clusters, Continuity of the Ising phase transition on nonamenable groups, Uniform even subgraphs and graphical representations of Ising as factors of i.i.d., Transience and anchored isoperimetric dimension of supercritical percolation clusters, Slightly supercritical percolation on nonamenable graphs. II: Growth and isoperimetry of infinite clusters, Analyticity Results in Bernoulli Percolation, Finite-energy infinite clusters without anchored expansion, The cutoff phenomenon in total variation for nonlinear Langevin systems with small layered stable noise, Power-law bounds for critical long-range percolation below the upper-critical dimension, Analyticity of Gaussian free field percolation observables
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