3 papers
math.PR2026
Logarithmic intermittency of the critical 2D SHF
Shirshendu Ganguly, Kyeongsik Nam
While the solution to the dimensional stochastic heat equation with multiplicative noise is closely related to the exponential of a Brownian motion, the two-dimensional pictu…
math.PR2025
Sharp moment and upper tail asymptotics for the critical Stochastic Heat Flow
Shirshendu Ganguly, Kyeongsik Nam
While dimensional growth models in the Kardar-Parisi-Zhang universality class have witnessed an explosion of activity, higher dimensional models remain much less explored. Th…
math.PR2025
Last passage percolation in hierarchical environments
Shirshendu Ganguly, Victor Ginsburg, Kyeongsik Nam
Last passage percolation (LPP) is a model of a directed metric and a zero-temperature polymer where the main observable is a directed path evolving in a random environment accruing…