18 citations · 48 across the 12 of their papers we have counts for
12 papers
Invariant Gibbs dynamics for the hyperbolic sinh-Gordon model
Justin Forlano, Younes Zine
We study the hyperbolic defocusing sinh-Gordon model with parameter and its associated Gibbs dynamics on the two-dimensional torus. We establish global well-posedness of th…
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 ($\be^2 < 4π$), in both the finite and infinite volume settings, by studying the correspon…
Global well-posedness of one-dimensional cubic fractional nonlinear Schrödinger equations in negative Sobolev spaces
Enguerrand Brun, Guopeng Li, Ruoyuan Liu +1
We study the Cauchy problem for the cubic fractional nonlinear Schrödinger equation (fNLS) on the real line and on the circle. In particular, we prove global well-posedness of the…
On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium
Younes Zine
We study the limiting behavior of the two-dimensional singular stochastic stochastic cubic nonlinear complex Ginzburg-Landau with Gibbs measure initial data. We show that in the ap…
A note on products of stochastic objects
Tadahiro Oh, Younes Zine
In recent study of partial differential equations (PDEs) with random initial data and singular stochastic PDEs with random forcing, it is essential to study the regularity property…
Norm inflation for the derivative nonlinear Schrödinger equation
Yuzhao Wang, Younes Zine
In this note, we study the ill-posedness problem for the derivative nonlinear Schrödinger equation (DNLS) in the one-dimensional setting. More precisely, by using a ternary-quinary…
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 nonl…
Three-dimensional stochastic cubic nonlinear wave equation with almost space-time white noise
Tadahiro Oh, Yuzhao Wang, Younes Zine
We study the stochastic cubic nonlinear wave equation (SNLW) with an additive noise on the three-dimensional torus . In particular, we prove local well-posedness of t…
Minibatch optimal transport distances; analysis and applications
Kilian Fatras, Younes Zine, Szymon Majewski +3
Optimal transport distances have become a classic tool to compare probability distributions and have found many applications in machine learning. Yet, despite recent algorithmic de…
Learning with minibatch Wasserstein : asymptotic and gradient properties
Kilian Fatras, Younes Zine, Rémi Flamary +2
Optimal transport distances are powerful tools to compare probability distributions and have found many applications in machine learning. Yet their algorithmic complexity prevents…