144 citations · 342 across the 4 of their papers we have counts for
7 papers
Coupled paraxial wave equations in random media in the white-noise regime
Josselin Garnier, Knut Sølna
In this paper the reflection and transmission of waves by a three-dimensional random medium are studied in a white-noise and paraxial regime. The limit system derives from the acou…
Controlled stratification for quantile estimation
Claire Cannamela, Josselin Garnier, Bertrand Iooss
In this paper we propose and discuss variance reduction techniques for the estimation of quantiles of the output of a complex model with random input parameters. These techniques a…
Transmission of matter wave solitons through nonlinear traps and barriers
Josselin Garnier, Fatkhulla Abdullaev
The transmissions of matter wave solitons through linear and nonlinear inhomogeneities induced by the spatial variations of the trap and the scattering length in Bose-Einstein cond…
Genealogical particle analysis of rare events
Pierre Del Moral, Josselin Garnier
In this paper an original interacting particle system approach is developed for studying Markov chains in rare event regimes. The proposed particle system is theoretically studied…
Propagation of matter wave solitons in periodic and random nonlinear potentials
Fatkhulla Kh. Abdullaev, Josselin Garnier
We study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical…
Symmetry breaking induced by random fluctuations for Bose-Einstein condensates in a double-well trap
J. Garnier, F. Kh. Abdullaev
This paper is devoted to the study of the dynamics of two weakly-coupled Bose-Einstein condensates confined in a double-well trap and perturbed by random external forces. Energy di…