Title & Abstract

Title: Moments of Critical 2D Stochastic Heat Flow

Abstract: The stochastic heat equation (SHE) describes the evolution of a field under a random source. 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.