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DTSTART:19700329T010000
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CATEGORIES:Probability
SUMMARY:Maximum and coupling of the sine-Gordon field - Mi
chael Hofstetter (Cambridge)
DTSTART;TZID=Europe/London:20201201T140000
DTEND;TZID=Europe/London:20201201T150000
UID:TALK154552AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/154552
DESCRIPTION:In recent years the extremal behaviour of log-corr
elated spatial Gaussian processes has drawn a lot
of attention. For the lattice discrete Gaussian fr
ee field (DGFF) in d=2 as well as for general log-
correlated Gaussian fields\, the limiting law of t
he centred maximum has been identified as a random
ly shifted Gumbel distribution.\n\nIn this talk I
will explain how an analogous result is obtained f
or the non-Gaussian sine-Gordon field. I will pres
ent a strong coupling at all scales of the sine-Go
rdon field with the Gaussian free field and demons
trate how this can be used to extend existing meth
ods for the maximum of the DGFF. The talk is based
on a joint work with R. Bauerschmidt.
LOCATION:Zoom
CONTACT:Perla Sousi
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