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DTSTART:20250330T030000
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DTSTAMP:20260424T040559Z
UID:672a288633b2f817828014@ist.ac.at
DTSTART:20250428T160000
DTEND:20250428T170000
DESCRIPTION:Speaker: Paul Dario\nhosted by Laszlo Erdös\, Jan Maas\nAbstra
 ct: In this talk\, we will discuss the properties of a model of random int
 erfaces known as the integer-valued Gaussian free field. One of the fundam
 ental features of this model is the existence of a localisation/delocalisa
 tion phase transition in two dimensions. From a mathematical perspective\,
  this result was first established by Frhlich and Spencer in 1981 and has 
 recently been the subject of renewed activity following the works of Lamme
 rs\, van Engelenburg and Lis\, and Aizenman\, Harel\, Peled and Shapiro. W
 e will present the model and some of its properties. We will then address 
 the following question: does the phase transition persist when the integer
 -valued Gaussian free field is subject to a random disorder? Specifically\
 , is it observed when the following random constraint is incorporated to t
 he model: we sample a supercritical Bernoulli bond percolation on $\\mathb
 b{Z}^2$ and\, for each closed edge of the percolation configuration\, we c
 onstrain the integer-valued Gaussian free field to take the same values on
  both ends of the edge? This is joint work with Diederik van Engelenburg a
 nd Christophe Garban.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Paul Dario: Delocalization for integer-valued height functions in t
 he presence of a random disorder
URL:https://talks-calendar.ista.ac.at/events/5383
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