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UID:8921@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20260120T143000
DTEND;TZID=Europe/Paris:20260120T153000
DTSTAMP:20260108T175206Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-276/
SUMMARY:Corentin FAIPEUR (ENS Lyon ): Glauber dynamics of the FK percolatio
 n and new bound on the critical point for q
DESCRIPTION:Corentin FAIPEUR: The FK percolation model is a variant of clas
 sical percolation\, in which\, in addition to the weight $p$ on the edges\
 , a weight $q$ is added to the clusters.\nWhen $q &lt\; 1$\, the invalidit
 y of the FKG inequalities makes it difficult to study the phase diagram. F
 or example\, on the square lattice\, for $q &lt\; 1$ the model is only kno
 wn to be subcritical (respectively supercritical) when $p\\leq q/(1+q)$ (r
 esp. $p\\geq 1/2). These bounds comes from stochastic comparison of the mo
 del with Bernoulli percolation.\nIn a joint work with Vincent Beffara and 
 Tejas Oke\, we slightly extend these two regions\, by improving the classi
 cal stochastic comparisons. It yields a new bound for the critical point\,
  assuming that it exists.\nThe proof relies on a modification of the usual
  Glauber dynamics of the model\, which enables stochastic bounds of FK mea
 sures between two inhomegenous percolations. We also prove uniqueness of t
 he infinite-volume measure in our extended ranges.
CATEGORIES:Séminaire,ALEA,Probabilités
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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