Abstract:
I will review joint works with F. Caravenna and N. Zygouras on the scaling limits of disordered systems, linking the notion of disorder relevance/irrelevance to that of sub/super-criticality of singular SPDEs, which led to the construction of the Critical 2D Stochastic Heat Flow (SHF). The SHF gives a rare example of a non-Gaussian scaling limit for a disordered system at its phase transition point in the critical dimension, and it provides a non-trivial solution to the Stochastic Heat Equation in dimension 2, a critical singular SPDE that lies beyond existing solution theories.
I will give an overview in the first part of this mini-course and then go into more details in the second and third parts. The mini-course will be based on the proceedings article https://arxiv.org/abs/
Biography:
Professor Rongfeng Sun obtained his Ph.D. in Mathematics from the Courant Institute of Mathematical Sciences at New York University in 2004, under the supervision of Charles M. Newman. He subsequently held postdoctoral positions at TU Berlin and TU Eindhoven. In 2008, he joined the Department of Mathematics at the National University of Singapore as an Assistant Professor, and has been a Professor at NUS since 2023. Professor Sun's primary research area is probability theory, with a specific focus on interacting particle systems, statistical mechanical models, and their scaling limits.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.