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UID:5437@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250107T143000
DTEND;TZID=Europe/Paris:20250107T153000
DTSTAMP:20241218T221558Z
URL:https://www.i2m.univ-amu.fr/evenements/tba-148/
SUMMARY:Alexandre LEGRAND (Institut Camille Jordan\, Univ. Lyon 1): The cri
 tical random walk snake in random conductances.
DESCRIPTION:Alexandre LEGRAND: We are interested in the recurrence and tran
 sience of a branching random walk in Z^d indexed by a critical Galton-Wats
 on tree conditioned to survive. When the environment is homogeneous\, dete
 rministic\, and if the offspring distribution has a second moment\, it is 
 known to be recurrent for d at most 4\, and transient for d larger than 4.
  In this talk we consider a random environment made of conductances\, and 
 we prove that\, if the conductances satisfy suitable assumptions\, the sam
 e result holds. The argument is based on the combination of a 0-1 law and 
 a truncated second moment method\, which only requires to have good estima
 tes on the quenched Green's function and heat kernel of a (non-branching) 
 random walk in random conductances. This is a joint work with Christophe S
 abot and Bruno Schapira.
CATEGORIES:Séminaire,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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DTSTART:20241027T020000
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