BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
METHOD:PUBLISH
BEGIN:VTIMEZONE
TZID:Europe/Vienna
BEGIN:DAYLIGHT
DTSTART:20190331T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=3
TZNAME:CEST
END:DAYLIGHT
BEGIN:STANDARD
DTSTART:20181028T020000
TZOFFSETFROM:+0200
TZOFFSETTO:+0100
RRULE:FREQ=YEARLY;BYDAY=-1SU;BYMONTH=10
TZNAME:CET
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20191023T111406Z
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
T Austria
ORGANIZER:swheatle@ist.ac.at
SUMMARY:Entropic repulsion for the Gaussian free field conditioned on disco
nnection by level sets
URL:https://talks-calendar.app.ist.ac.at/events/1475
END:VEVENT
END:VCALENDAR