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SUMMARY:First passage percolation for random interlacements - Alexis  Pré
 vost (University of Geneva)
DTSTART:20240709T130000Z
DTEND:20240709T140000Z
UID:TALK215602@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will study the probability that there exists 
 a path of large radius which intersects a random walk a sublinear number o
 f times. This question can be reformulated in terms of first passage perco
 lation for the vacant set of random interlacements\, and I will also prese
 nt corresponding results for the interlacement set. The long-range correla
 tions of the model play an important role here\, especially in dimension t
 hree. There are many applications of this result\, for instance for the ca
 pacity of random walks\, local uniqueness of random interlacements\, and c
 ritical exponents for the Gaussian free field on the cable system.
LOCATION:Seminar Room 1\, Newton Institute
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