Absence of zeros implies strong spatial mixing

HIGHLIGHTS

  • who: Guus Regts from the (UNIVERSITY) have published the research: Absence of zeros implies strong spatial mixing, in the Journal: (JOURNAL)
  • what: The authors show that absence of complex zeros of the partition function of the hard-core model on any family of bounded degree graphs that is closed under taking induced subgraphs implies that the associated probability measure the hardcore measure satisfies strong spatial mixing on that family. Below the authors show this is also true for bounded degree graphs in general.

SUMMARY

    Example 1 (The hard-core model) Let . . .

     

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