|Location:||MSRI: Simons Auditorium, Online/Virtual|
KPZ Equation With A Small Noise, Deep Upper Tail And Limit Shape
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We prove an exact limit shape of the KPZ equations under weak noise scaling, when we condition the value of the KPZ equations at one point to be very large. We also show that under such conditioning, the shape of the noise in the KPZ equation is asymptotically given by the optimizer of the L^4 Gagliardo-Nirenberg-Sobolev inequality.
KPZ Equation with a Small Noise, Deep Upper Tail and Limit Shape