24 citations · 52 across the 12 of their papers we have counts for
13 papers
Dynamics of quintic nonlinear Schr{ö}dinger equations in
Joackim Bernier, Benoît Grébert, Tristan Robert
In this paper, we succeed in integrating Strichartz estimates (encoding the dispersive effects of the equations) in Birkhoff normal form techniques. As a consequence, we deduce a r…
Focusing Gibbs measures with harmonic potential
Tristan Robert, Kihoon Seong, Leonardo Tolomeo +1
In this paper, we study the Gibbs measures associated to the focusing nonlinear Schrödinger equation with harmonic potential on Euclidean spaces. We establish a dichotomy for norma…
Invariant Gibbs measure for a Schrodinger equation with exponential nonlinearity
Tristan Robert
We investigate the invariance of the Gibbs measure for the fractional Schrodinger equation of exponential type (expNLS) on -d…
Stochastic quantization of Liouville conformal field theory
Tadahiro Oh, Tristan Robert, Nikolay Tzvetkov +1
We study a nonlinear stochastic heat equation forced by a space-time white noise on closed surfaces, with nonlinearity . This equation corresponds to the stochastic quantiz…
Invariant Gibbs dynamics for the dynamical sine-Gordon model
Tadahiro Oh, Tristan Robert, Philippe Sosoe +1
In this note, we study the hyperbolic stochastic damped sine-Gordon equation (SdSG), with a parameter , and its associated Gibbs dynamics on the two-dimensional torus. Aft…
On the parabolic and hyperbolic Liouville equations
Tadahiro Oh, Tristan Robert, Yuzhao Wang
We study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity , forced by…