Locality of percolation for graphs with polynomial growth

HIGHLIGHTS

  • who: Please see https://doi.org/10.1214/22-ECP508 from the (UNIVERSITY) have published the paper: Locality of percolation for graphs with polynomial growth, in the Journal: (JOURNAL)

SUMMARY

    Around 2008, Schramm conjectured that, under some non-degeneracy assumption, the value of the critical probability for percolation depends only on the local structure of the underlying graph. Let (Gk ) be a sequence of transitive graphs and let G∞ also be some transitive graph. Let (Gk ) be a sequence of transitive graphs such that pc (Gk ) and amp;lt; 1 for every k . . .

     

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