41 citations · 189 across the 38 of their papers we have counts for
4 papers · 1 filter
Long-time behavior for a nonlocal model from directed polymers
Yu Gu, Christopher Henderson
We consider the long time behavior of solutions to a nonlocal reaction diffusion equation that arises in the study of directed polymers. The model is characterized by convolution w…
A forward-backward SDE from the 2D nonlinear stochastic heat equation
Alexander Dunlap, Yu Gu
We consider a nonlinear stochastic heat equation in spatial dimension , forced by a white-in-time multiplicative Gaussian noise with spatial correlation length …
Gaussian fluctuations from random Schrödinger equation
Yu Gu, Tomasz Komorowski
We study the Schrödinger equation driven by a weak Brownian forcing, and derive Gaussian fluctuations in the form of a time-inhomogeneous Ornstein-Uhlenbeck process. As a result, w…
A PDE hierarchy for directed polymers in random environments
Yu Gu, Christopher Henderson
For a Brownian directed polymer in a Gaussian random environment, with denoting the quenched endpoint density and \[ Q_n(t,x_1,\ldots,x_n)=\mathbf{E}[q(t,x_1)\ldots q(…