Abstract:
The stochastic heat equation (SHE) describes the evolution of a field under a random source. It arises as the universal scaling limit for a wide class of microscopic systems, including directed polymers and interacting particle systems, and is a cornerstone of the Kardar-Parisi-Zhang (KPZ) universality class in 1+1 dimensions. In 2+1 dimensions, SHE undergoes a weak to strong disorder phase transition depending on the strength of noise. Its scaling limit in the ''critical'' regime, called Critical 2D Stochastic Heat Flow, was conjectured to display extreme intermittency, with h-th moments growing like exp(exp(h)). In this talk, we establish a lower bound of this conjecture. Joint work with Shirshendu Ganguly.
Biography:
Kyeongsik Nam is currently an Associate Professor at the Korea Advanced Institute of Science & Technology (KAIST). He was previously an Assistant Professor at KAIST from September 2021 to August 2025. Before joining KAIST, he was a Hedrick Assistant Adjunct Professor at the University of California, Los Angeles, from 2020 to 2021. He obtained his Ph.D. in Mathematics from the University of California, Berkeley, under the supervision of Fraydoun Rezakhanlou. His research interests include probability theory, mathematical physics, and their applications to analysis.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.