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SUMMARY:Maximum and coupling of the sine-Gordon field - Michael Hofstetter
  (Cambridge)
DTSTART:20201201T140000Z
DTEND:20201201T150000Z
UID:TALK154552@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:In recent years the extremal behaviour of log-correlated spati
 al Gaussian processes has drawn a lot of attention. For the lattice discre
 te Gaussian free field (DGFF) in d=2 as well as for general log-correlated
  Gaussian fields\, the limiting law of the centred maximum has been identi
 fied as a randomly shifted Gumbel distribution.\n\nIn this talk I will exp
 lain how an analogous result is obtained for the non-Gaussian sine-Gordon 
 field. I will present a strong coupling at all scales of the sine-Gordon f
 ield with the Gaussian free field and demonstrate how this can be used to 
 extend existing methods for the maximum of the DGFF. The talk is based on 
 a joint work with R. Bauerschmidt.
LOCATION:Zoom
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