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SUMMARY:Rick Kenyon (Yale)
DTSTART:20200417T170000Z
DTEND:20200417T180000Z
DTSTAMP:20260423T005720Z
UID:PatC/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/1/">Gra
 dient models and kappa-harmonic functions</a>\nby Rick Kenyon (Yale) as pa
 rt of Probability and the City Seminar\n\n\nAbstract\nThis is joint work w
 ith Istvan Prause. \nWe discuss random height models h:R^2 -> R and their 
 associated limit shapes. A gradient model is one whose surface tension onl
 y depends on slope. Examples include the 6- and 8-vertex model and FK-perc
 olation models\, among many others. We show that limit shapes for such a m
 odel can be explicitly parameterized using kappa-harmonic functions\, that
  is\, solutions to the laplacian equation with spatially varying conductan
 ce kappa=kappa(x\,y). Here kappa is the square root of the Hessian determi
 nant of the surface tension.\n
LOCATION:https://researchseminars.org/talk/PatC/1/
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