Slightly supercritical percolation on nonamenable graphs II: Growth and isoperimetry of infinite clusters

2022/07/02 by Tom Hutchcroft, Hutchcroft, Tom
Mathematics · Physics and Astronomy · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2207.00701

openalex publication_date 2022/07/02 · openalex created_date 2022/07/07 · openalex updated_date 2026/07/28

Abstract

We study the growth and isoperimetry of infinite clusters in slightly supercritical Bernoulli bond percolation on transitive nonamenable graphs under the L² boundedness condition (p_c

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