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SUMMARY:Weak universality of the KPZ equation
DTSTART:20150507T171500
DTEND:20150507T181500
DTSTAMP:20261001T085505Z
UID:d3b5ff1d51d0640b3cd2e39de6b98ee68b95ed1c2cfefa613af1a7a5
CATEGORIES:Conferences - Seminars
DESCRIPTION:Martin Hairer\nThe KPZ equation is a popular model of one-dime
 nsional interface propagation. From heuristic consideration\, it is expect
 ed to be "universal" in the sense that any "weakly asymmetric" or "weakly 
 noisy" microscopic model of interface propagation should converge to it if
  one sends the asymmetry (resp. noise) to zero and simultaneously looks at
  the interface at a suitable large scale. The only microscopic models for 
 which this has been proven so far all exhibit very particular that allow t
 o perform a microscopic equivalent to the Cole-Hopf transform. The main bo
 ttleneck for generalisations to larger classes of models was that until re
 cently it was not even clear what it actually means to solve the equation\
 , other than via the Cole-Hopf transform. In this talk\, we will see that 
 there exists a rather large class of continuous models of interface propag
 ation for which convergence to KPZ can be proven rigorously.  The main to
 ol for both the proof of convergence and the identification of the limit i
 s the recently developed theory of regularity structures\, but with an int
 eresting twist.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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