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DTSTART:20190331T030000
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DTSTART:20181028T020000
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BEGIN:VEVENT
DTSTAMP:20260404T145856Z
UID:5b4d8fb086faf332893148@ist.ac.at
DTSTART:20190110T160000
DTEND:20190110T180000
DESCRIPTION:Speaker: Alberto Chiarini\nhosted by Lazlo Erdös\nAbstract: We
  investigate level-set percolation of the discrete Gaussian free field on 
 $\\mathbb{Z}^d$\, $d\\geq 3$\, in the strongly percolative regime. We cons
 ider the event that the level set of the Gaussian free field below a level
  $\\alpha$ disconnects the discrete blow-up of a compact set $A\\subseteq 
 \\mathbb{R}^d$ from the boundary of an enclosing box. We derive asymptotic
  large deviation upper bounds on the probability that the local averages o
 f the Gaussian free field deviate from a specific multiple of the harmonic
  potential of $A$\, when disconnection occurs. If certain critical levels 
 coincide\, which is plausible but open at the moment\, these bounds imply 
 that conditionally on disconnection\, the Gaussian free field experiences 
 an entropic push down proportional to the harmonic potential of the set $A
 $. In particular\, due to the slow decay of correlations\, the disconnecti
 on event affects the field on the whole lattice. (Joint work with M. Nitzs
 chner)
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
 TA
ORGANIZER:swheatle@ist.ac.at
SUMMARY:Alberto Chiarini: Entropic repulsion for the Gaussian free field co
 nditioned on disconnection by level sets
URL:https://talks-calendar.ista.ac.at/events/1475
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