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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20220817T021711Z
UID:5b4d8fb086faf332893148@ist.ac.at
DTSTART:20190110T160000
DTEND:20190110T180000
DESCRIPTION:Speaker: Alberto Chiarini\nhosted by Lazlo ErdÃ¶s\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.app.ist.ac.at/events/1475
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