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SUMMARY:The smoothed KPZ equation in dimension three and higher: Edwards-W
 ilkinson regime of its fluctuations and its localization properties  - Chi
 ranjib Mukherjee (Munster)
DTSTART:20181113T140000Z
DTEND:20181113T150000Z
UID:TALK110437@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We study the Kardar-Parisi-Zhang equation in dimension $d\\geq
  3$ with space-time white noise which is smoothed in space. There is a nat
 ural disorder parameter attached to this equation which measures the inten
 sity of the noise. We show that when the disorder is small\, the approxima
 ting solution converges to a well-defined limit (with the limit depending 
 on both the disorder and the mollification procedure)\, while the re-scale
 d fluctuations converge to a Gaussian limit as predicted by the Edwards-Wi
 lkionson regime. \n\nWe also study the associated stochastic heat equation
  with multiplicative noise\, which carries a natural Gaussian mutiplicativ
 e noise (GMC) on the Wiener space. When the disorder is large\, we also sh
 ow that the total mass of the GMC converges to zero\, while the endpoint d
 istribution of a Brownian path under the (renormlaized) GMC measure is pur
 ely atomic. \n\nBased on joint works with\, A. Shamov & O. Zeitouni\, F. C
 omets & C. Cosco as well Y. Broeker. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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