2 papers
math.PR2026
Renormalization flow for the 2D nonlinear stochastic heat equation: pointwise statistics and universality
Alexander Dunlap, Cole Graham
We consider a two-dimensional stochastic heat equation with noise correlated at scale and of strength depending nonlinearly on the solution . Un…
math.PR2025
Stationary solutions to the stochastic Burgers equation on the line
Alexander Dunlap, Cole Graham, Lenya Ryzhik
We consider invariant measures for the stochastic Burgers equation on , forced by the derivative of a spacetime-homogeneous Gaussian noise that is white in time and smo…