Moments and logarithmic intermittency of the Critical 2D Stochastic Heat Flow

Người báo cáo: Prof. Kyeongsik Nam (Korea Advanced Institute of Science and Technology)

Thời gian: 14h chiều Thứ 5, ngày  22/10/2026

Địa điểm: Phòng 507 nhà A6

Tóm tắtt: The critical 2D stochastic heat flow (SHF) is a universal random measure arising from 2D stochastic heat equation or directed polymers at critical disorder. It is singular with respect to Lebesgue measure and exhibits intermittency. In this talk, I will discuss two complementary aspects of this behavior. First, I will present higher moment estimates of SHF. Then I will describe a microscopic geometry of SHF, which reveals logarithmic fractal dimension.