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UID:6062@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20220503T143000
DTEND;TZID=Europe/Paris:20220503T153000
DTSTAMP:20241120T200905Z
URL:https://www.i2m.univ-amu.fr/evenements/seminaire-david-dereudre/
SUMMARY:David Dereudre (Université Lille 1): Fully-connected bond percolat
 ion on Zd
DESCRIPTION:David Dereudre: \nWe consider the bond percolation model on the
  lattice Zd with the constraint to be fully connected. Each edge is open w
 ith probability p in (0\,1)\, closed with probability 1-p and then the pro
 cess is conditioned to have a unique open connected component (bounded or 
 unbounded). The model is defined on Zd by passing to the limit for a seque
 nce of finite volume models with general boundary conditions. Several ques
 tions and problems are investigated: existence\, uniqueness\, phase transi
 tion\, DLR equations. Our main result involves the existence of a threshol
 d 0&lt\;p*(d)&lt\;1 such that any infinite volume model is necessary the v
 acuum state in subcritical regime (no open edges) and is non trivial in th
 e supercritical regime (existence of a stationary unbounded connected clus
 ter). Bounds for p^*(d) are given and show that it is drastically smaller 
 than the standard bond percolation threshold in Zd. For instance 0.128&lt\
 ;p*(2)&lt\;0.202 (rigorous bounds) whereas the 2D bond percolation thresho
 ld is equal to 1/2
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 022/04/David_Dereudre.jpg
CATEGORIES:Séminaire,Probabilités
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=39 Rue Joliot Curie\, 13013
  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
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