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SUMMARY:Fabio Toninelli (Vienna)
DTSTART:20200626T140000Z
DTEND:20200626T150000Z
DTSTAMP:20260423T004822Z
UID:PatC/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PatC/8/">The
  stationary (2+1)-dimensional AKPZ equation</a>\nby Fabio Toninelli (Vienn
 a) as part of Probability and the City Seminar\n\n\nAbstract\nThe AKPZ equ
 ation is an anisotropic variant of the celebrated (two-dimensional) KPZ st
 ochastic PDE\, which is expected to describe the large-scale behavior of (
 2+1)-dimensional growth models whose average speed of growth is a non-conv
 ex function of the average slope (AKPZ universality class). Several intera
 cting particle systems belonging to the AKPZ class are known\, notably a c
 lass of two-dimensional interlaced particle systems introduced by A. Borod
 in and P. Ferrari.\n\nIn the physics literature\, the AKPZ equation was co
 njectured to have the same large-scale behavior as the stochastic heat equ
 ation with additive noise (2d-SHE). In this talk\, I will show that this i
 s not really true: in fact\, the stationary equation is not invariant unde
 r diffusive rescaling (as the 2d-SHE is)\, not even asymptotically on larg
 e scales\, and logarithmic corrections in the scaling are needed instead. 
 [Based on joint work with G. Cannizzaro and D. Erhard]\n
LOCATION:https://researchseminars.org/talk/PatC/8/
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