5 papers
Invariant Gibbs dynamics for the hyperbolic sinh-Gordon model
Justin Forlano, Younes Zine
We study the hyperbolic defocusing sinh-Gordon model with parameter $β^2>0$ and its associated Gibbs dynamics on the two-dimensional torus. We establish global well-posedness of t…
Hyperbolic sine-Gordon model beyond the first threshold
Younes Zine
We study the hyperbolic sine-Gordon model, with a parameter $\be^2 > 0$, and its associated Gibbs dynamics on the two-dimensional torus. By introducing a physical space approach to…
Stochastic complex Ginzburg-Landau equation on compact surfaces
Tristan Robert, Younes Zine
We study a stochastic complex Ginzburg-Landau equation (SCGL) on compact surfaces with magnetic Laplacian and polynomial nonlinearity, forced by a space-time white noise. After ren…
A simple construction of the sine-Gordon model via stochastic quantization
Massimiliano Gubinelli, Martin Hairer, Tadahiro Oh +1
We present a simple PDE construction of the sine-Gordon measure below the first threshold ($\be^2 < 4Ï$), in both the finite and infinite volume settings, by studying the correspo…
Smoluchowski-Kramers approximation for singular stochastic wave equations in two dimensions
Younes Zine
We study a family of nonlinear damped wave equations indexed by a parameter and forced by a space-time white noise on the two dimensional torus, with polynomial and sine non…