The Critical 2D Stochastic Heat Flow

Rongfeng Sun (National University of Singapore)

Tue Jun 9, 14:00-15:00 (5 days from now)
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Abstract: I will review joint work with F. Caravenna and N. Zygouras on the directed polymer model, the stochastic heat equation (SHE), and the KPZ equation in the critical dimension 2, which eventually led to our construction of the Critical 2D Stochastic Heat Flow (SHF). The SHF provides a candidate solution to the 2D SHE, a critical singular SPDE that lies beyond the scope of existing solution theories, and it gives a rare example of a non-Gaussian scaling limit for a model at its phase transition point in the critical dimension.

mathematical physics

Audience: researchers in the discipline


One world IAMP mathematical physics seminar

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Organizers: Margherita Disertori*, Wojciech Dybalski*, Ian Jauslin, Hal Tasaki*
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