Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution

HIGHLIGHTS

  • who: Jonathan Hermon from the Cambridge University Press, Cambridge, pp, )Department of Mathematics, University of British Columbia, Vancouver, Canada have published the research: Supercritical percolation on nonamenable graphs: isoperimetry, analyticity, and exponential decay of the cluster size distribution, in the Journal: (JOURNAL)
  • what: The authors develop a theory of supercritical percolation on nonamenable transitive graphs, studying in particular the distribution of finite clusters, the geometry of the infinite clusters, and the regularity of the dependence of various observables on p the main result, from which various corollaries will be derived, is the following theorem. Speculatively . . .

     

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