49 citations · 341 across the 24 of their papers we have counts for
9 papers · 1 filter
Quasi-deterministic properties of random Gaussian fields constrained by a large quadratic form
Philippe Mounaix
Completing the study initiated by Mounaix and Collet [J. Stat. Phys. {\bf 143}, 139-147 (2011)], we investigate the realizations of a Gaussian random field in the limit where a giv…
Approach to equilibrium for the stochastic NLS
J. L. Lebowitz, Ph. Mounaix, W. -M. Wang
We study the approach to equilibrium, described by a Gibbs measure, for a system on a -dimensional torus evolving according to a stochastic nonlinear Schrödinger equation (SNLS)…
Linear Amplifier Breakdown and Concentration Properties of a Gaussian Field Given that its -Norm is Large
Philippe Mounaix, Pierre Collet
In the context of linear amplification for systems driven by the square of a Gaussian noise, we investigate the realizations of a Gaussian field in the limit where its -norm i…
Wave localization does not affect the breakdown of a Schrödinger-type amplifier driven by the square of a Gaussian field
Philippe Mounaix, Pierre Collet
We study the divergence of the solution to a Schrödinger-type amplifier driven by the square of a Gaussian noise in presence of a random potential. We follow the same approach as M…
Nonequilibrium stationary state of a truncated stochastic NLSE: I. Formulation and mean field approximation
Philippe Mounaix, Pierre Collet, Joel L. Lebowitz
We investigate the stationary state of a model system evolving according to a modified focusing truncated nonlinear Schrödinger equation (NLSE) used to describe the envelope of Lan…
Note on the Transition to Intermittency for the exponential of the Square of a Steinhaus Series
Philippe Mounaix, Pierre Collet
Intermittency of as is investigated on a -dimensional torus , when is a finite Steinhaus series o…