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CATEGORIES:Probability
SUMMARY:The scaling limit of the 2D discrete Gaussian mode
l at high temperature - Jiwoon Park (Statslab)
DTSTART;TZID=Europe/London:20221011T140000
DTEND;TZID=Europe/London:20221011T150000
UID:TALK183191AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/183191
DESCRIPTION:The discrete Gaussian model is a random lattice fi
eld model imitating the Gaussian free field but re
stricted to taking integer values. Given a lattice
\, assigning an integer value to each lattice site
would give a configuration\, and the probability
of exhibiting a certain configuration is weighted
by measuring the total amount of gradients of the
configuration. Because of its relation with some f
undamental problems in physics\, such as the Koste
rlitz-Thouless phase transition in the XY model\,
this model had drawn the attention of a number of
mathematical physicists.\n\n\nDespite the growing
understanding of the topic recently\, studying the
exact limiting behaviour of related models often
turn out to be challenging. In this talk\, I will
describe why the scaling limit of the 2D discrete
Gaussian model can be studied with great precision
.
LOCATION:MR12\, Centre for Mathematical Sciences
CONTACT:Perla Sousi
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