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SUMMARY:Istvan Prause (University of Eastern Finland)
DTSTART:20211005T130000Z
DTEND:20211005T140000Z
DTSTAMP:20260422T201846Z
UID:CAvid/50
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CAvid/50/">P
 robabilistic limit shapes and harmonic functions</a>\nby Istvan Prause (Un
 iversity of Eastern Finland) as part of CAvid: Complex Analysis video semi
 nar\n\nLecture held in N/A.\n\nAbstract\nLimit shapes are surfaces in $\\m
 athbb{R^3}$ which arise in the scaling limit of discrete random surfaces a
 ssociated to various probability models such as domino tilings\, random Yo
 ung tableaux or the 5-vertex model. The limit surface is a minimiser of a 
 gradient variational problem with a surface tension which encodes the loca
 l entropy of the model. I'll show that in an intrinsic complex variable th
 ese limit shapes can all be parametrised by harmonic functions across a va
 riety of models. Some new features beyond determinantal settings will be d
 iscussed. The talk is based on joint works with Rick Kenyon.\n
LOCATION:https://researchseminars.org/talk/CAvid/50/
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