41 citations · 189 across the 38 of their papers we have counts for
33 papers · 1 filter
Effective diffusivities in periodic KPZ
Yu Gu, Tomasz Komorowski
For the KPZ equation on a torus with a spacetime white noise, it was shown in \cite{GK21,ADYGTK22} that the height function satisfies a central limit theorem, and the varianc…
Localization length of the continuum directed random polymer
Alexander Dunlap, Yu Gu, Liying Li
In this paper, we study the localization length of the continuum directed polymer, defined as the distance between the endpoints of two paths sampled independently from the q…
Fluctuations of the winding number of a directed polymer on a cylinder
Yu Gu, Tomasz Komorowski
We prove a central limit theorem for the winding number of a directed polymer on a cylinder, which is equivalent with proving the Gaussian fluctuations of the endpoint of the direc…
Another look at the Balázs-Quastel-Seppäläinen theorem
Yu Gu, Tomasz Komorowski
We study the KPZ equation with a dimensional spacetime white noise, started at equilibrium, and give a different proof of the main result of \cite{bqs}, i.e., the variance of…
Gaussian fluctuations of replica overlap in directed polymers
Yu Gu, Tomasz Komorowski
In this short note, we prove a central limit theorem for a type of replica overlap of the Brownian directed polymer in a Gaussian random environment, in the low temperature regime…
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…