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SUMMARY:Percolation on polygon configurations - Bollobas \, B (Cambridge)
DTSTART:20100406T083000Z
DTEND:20100406T093000Z
UID:TALK24078@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Scullard and Ziff found a simple condition for the self-dualit
 y of a family of bond percolation models in the plane\, and used it to pre
 dict their critical probabilities. This family is wide enough to include m
 odels with local dependencies between the states of certain bonds.   As in
  the classical case of bond percolation on the square lattice\, the  mathe
 matical difficulty is to show that self-duality does imply criticality. Ve
 ry recently\, Oliver Riordan and I proved that this does hold for a family
  generalizing the models considered by Scullard and Ziff:\nin the talk I s
 hall present some of our results concerning this.
LOCATION:Seminar Room 1\, Newton Institute
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