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SUMMARY:Planar lattices do not recover from forest fires - Manolescu\, I (
 Universit de Genve)
DTSTART:20150423T130000Z
DTEND:20150423T140000Z
UID:TALK59085@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Hugo Duminil Copin (University of Geneva)\, Aran R
 aoufi (University of Geneva) \n\nSelf-destructive percolation with paramet
 ers p\, delta is obtained by taking a site percolation configuration with 
 parameter p\, closing all sites belonging to the infinite cluster\, then o
 pening every site with probability delta\, independently of the rest. Call
  theta(p\,delta) the probability that the origin is in an infinite cluster
  in the configuration thus obtained. For two dimensional lattices\, we sho
 w the existence of delta > 0 such that\, for any p > p_c \, theta(p\,delta
 ) = 0. \nThis proves a conjecture of van den Berg and Brouwer\, who introd
 uced the model. Our results also imply the non-existence of the infinite p
 arameter forest-fire model on planar lattices. \n
LOCATION:Seminar Room 1\, Newton Institute
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