A remark on Gibbs measures with log-correlated Gaussian fields
From bosonic canonical ensembles to non-linear Gibbs measures
D Dinh, N Rougerie - arxiv preprint arxiv:2412.13597, 2024 - arxiv.org
We study the mean-field limit of the 1D bosonic canonical ensemble in a superharmonic
trap. This is the regime with temperature proportional to particle number, both diverging to …
trap. This is the regime with temperature proportional to particle number, both diverging to …
Gibbs measures as local equilibrium KMS states for focusing nonlinear Schr\" odinger equations
In this paper, we are concerned with the study of statistical equilibria for focusing nonlinear
Schr\" odinger and Hartree equations on the d-dimensional torus when d= 1, 2, 3. Due to the …
Schr\" odinger and Hartree equations on the d-dimensional torus when d= 1, 2, 3. Due to the …
A remark on Gibbs measures with log-correlated Gaussian fields
We study Gibbs measures with log-correlated base Gaussian fields on the d-dimensional
torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson's …
torus. In the defocusing case, the construction of such Gibbs measures follows from Nelson's …
A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schr\"{o} dinger equation
In this work, we obtain a microscopic derivation of Gibbs measures for the focusing quintic
(nonlocal) nonlinear Schr\"{o} dinger equation (NLS) on $\mathbb {T} $ from many-body …
(nonlocal) nonlinear Schr\"{o} dinger equation (NLS) on $\mathbb {T} $ from many-body …
Wellposedness of the cubic Gross-Pitaevskii equation with spatial white noise on
P Mackowiak - arxiv preprint arxiv:2311.10405, 2023 - arxiv.org
In this paper, we prove the global wellposedness of the Gross-Pitaevskii equation with white
noise potential, ie a cubic nonlinear Schr {\" o} dinger equation with harmonic confining …
noise potential, ie a cubic nonlinear Schr {\" o} dinger equation with harmonic confining …
From bosonic canonical ensembles to non-linear Gibbs measures
N Rougerie - 2024 - hal.science
We study the mean-field limit of the 1D bosonic canonical ensemble in a superharmonic
trap. This is the regime with temperature proportional to particle number, both diverging to …
trap. This is the regime with temperature proportional to particle number, both diverging to …