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DTSTAMP:20260405T175348Z
UID:1633012200@ist.ac.at
DTSTART:20210930T163000
DTEND:20210930T172000
DESCRIPTION:Speaker: Fabio Toninelli\nhosted by M. Beiglböck\, N. Berestyc
 ki\, L. Erdös\, J. Maas\, F. Toninelli\nAbstract: I will discuss the larg
 e time behaviour of a Brownian diffusion in two dimensions\, whose drift i
 s divergence-free\, ergodic and given by the curl of the 2-dimensional Gau
 ssian Free Field. Together with G. Cannizzaro and L. Haundschmid\, we prov
 e the conjecture by B. Toth and B. Valko that the mean square displacement
  is of order $t \\sqrt{\\log t}$. The same type of superdiffusive behaviou
 r has been predicted to occur for a wide variety of (self)-interacting dif
 fusions in dimension d = 2: the diffusion of a tracer particle in a fluid\
 , self-repelling polymers and random walks\, Brownian particles in diverge
 nce-free random environments\, and\, more recently\, the 2-dimensional cri
 tical Anisotropic KPZ equation. To the best of our authors’ knowledge\, 
 ours is the first instance in which $\\sqrt{\\log t}$ superdiffusion is ri
 gorously established in this universality class.
LOCATION:Rényi Institute Budapest\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Fabio Toninelli: Diffusion in the curl of the 2-dimensional Gaussia
 n Free Field
URL:https://talks-calendar.ista.ac.at/events/3299
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