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DTSTART;VALUE=DATE:20150603T160000
DTEND;VALUE=DATE:20150603T160000
UID:5728@agenda.unifr.ch
DESCRIPTION:The KPZ equation is a popular model of one-dimensional in-\nterface propagation. From heuristic consideration, it is expected to be\n"universal" in the sense that any "weakly asymmetric" or "weakly noisy"\nmicroscopic model of interface propagation should converge to it if one\nsends the asymmetry (resp. noise) to zero and simultaneously looks at the\ninterface at a suitable large scale. The only microscopic models for which\nthis has been proven so far all exhibit very particular that allow to perform\na microscopic equivalent to the Cole-Hopf transform. The main bottleneck\nfor generalisations to larger classes of models was that until recently it was\nnot even clear what it actually means to solve the equation, other than via\nthe Cole-Hopf transform. In this talk, we will see that there exists a rather\nlarge class of continuous models of interface propagation for which conver-\ngence to KPZ can be proven rigorously. The main tool for both the proof\nof convergence and the identication of the limit is the recently developed\ntheory of regularity structures, but with an interesting twist.
SUMMARY:Prof. Martin Hairer (Warwick): Weak universality of the KPZ equation
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, Phys 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/5728
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