From the 1 of 27 papers with an AI index.
18 citations
- N. Rougerie5 · h 26
- Himanshu Gupta3 profiles3 · h 10
- Micah Carroll2 profiles3 · h 15
- Michael Kirchhof2 profiles3 · h 10
- Orion Weller2 profiles3 · h 22
- Zheng-Xin Yong3 profiles3 · h 18
- Abdallah Galal2 profiles2 · h 1
- Alon Amit2 profiles2 · h 8
- Ankit Singh2 profiles2 · h 3
- Antonella Pinto2 profiles2 · h 2
- Anton Peristyy2 profiles2 · h 2
- Archimedes T. Apronti2 profiles2 · h 1
- Centre National de la Recherche ScientifiqueFR8 papers
- École Normale Supérieure de LyonFR7 papers
- East China Normal UniversityCN2 papers
- Laboratoire de Mathématiques d'OrsayFR2 papers
- Laboratoire de Physique de l'ENS de LyonFR2 papers
- Université Paris-SaclayFR2 papers
- University of TorontoCA2 papers
- 3DT Holdings (United States)US1 paper
- Aalborg UniversityDK1 paper
- Aalto UniversityFI1 paper
- Abacus Health SolutionsUS1 paper
- Abeam Technologies (United States)US1 paper
7 papers · 1 filter
Dimensional reduction for anyons in the average-field approximation
Qiyun Yang
We study abelian anyons at the mean-field/almost-bosonic level, whose dynamics are governed by the Chern-Simons-Schrödinger system. We consider the dimensional reduction of this 2…
From bosonic canonical ensembles to non-linear Gibbs measures
van Duong Dinh, Nicolas Rougerie
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 i…
The 2D Chern-Simons-Schr{ö}dinger system reduced to 1D
Nicolas Rougerie, Qiyun Yang
We study a mean-field model for a system of 2D abelian anyons, given by the dynamics of a Schr{ö}dinger matter field coupled to a Chern-Simons gauge field. We derive an effective…
Magnetic Thomas-Fermi theory for 2D abelian anyons
Antoine Levitt, Douglas Lundholm, Nicolas Rougerie
Two-dimensional abelian anyons are, in the magnetic gauge picture, represented as fermions coupled to magnetic flux tubes. For the ground state of such a system in a trapping poten…
The Cauchy problem for the periodic Kadomtsev--Petviashvili--II equation below
Sebastian Herr, Robert Schippa, Nikolay Tzvetkov
We extend Bourgain's -wellposedness result for the KP-II equation on to initial data with negative Sobolev regularity. The key ingredient is a new linear -…
Gyrokinetic limit of the 2D Hartree equation in a large magnetic field
Denis Périce, Nicolas Rougerie
We study the dynamics of two-dimensional interacting fermions submitted to a homogeneous transverse magnetic field. We consider a large magnetic field regime, with the gap between…