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SUMMARY:One-arm probability for the metric Gaussian free field in low dime
 nsions - Pierre-Francois  Rodriguez  (Imperial College London)
DTSTART:20240710T091500Z
DTEND:20240710T101500Z
UID:TALK215584@talks.cam.ac.uk
DESCRIPTION:The study of percolation for the excursion sets of the Gaussia
 n free field on transient weighted graphs was first considered by Lebowitz
 -Saleur/Lebowitz-Bricmont-Maes in the mid 80's\, and more recently re-inst
 igated by R.-Sznitman ('12). Following an idea of Lupu ('16)\, we investig
 ate a variant of this percolation model\, obtained by considering the&nbsp
 \; excursion sets of the free field on the corresponding metric graph. We 
 will discuss the behavior of the probability to connect a point to large d
 istances (the so-called "one-arm" probability) for the metric-graph versio
 n in low transient dimensions. A case in point is the usual Euclidean latt
 ice in dimension three.\nBased on joint works with A. Drewitz (K&ouml\;ln)
  and A. Pr&eacute\;vost (Gen&egrave\;ve).
LOCATION:Seminar Room 1\, Newton Institute
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