41 citations · 189 across the 38 of their papers we have counts for
4 papers · 2 filters
Fluctuation Exponents of the KPZ equation on a large torus
Alexander Dunlap, Yu Gu, Tomasz Komorowski
We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the rela…
High temperature behaviors of the directed polymer on a cylinder
Éric Brunet, Yu Gu, Tomasz Komorowski
In this paper, we study the free energy of the directed polymer on a cylinder of radius with the inverse temperature . Assuming the random environment is given by a Gaussian…
A quenched local limit theorem for stochastic flows
Alexander Dunlap, Yu Gu
We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show…
KPZ on torus: Gaussian fluctuations
Yu Gu, Tomasz Komorowski
We study the KPZ equation on a torus and derive Gaussian fluctuations in large time.