467 citations
- École Normale Supérieure de LyonFR399 papers
- Centre National de la Recherche ScientifiqueFR239 papers
- Université de LyonFR25 papers
- Laboratoire de Mathématiques d'OrsayFR22 papers
- Lyon 1 UniversitéFR21 papers
- Sorbonne UniversitéFR21 papers
- Université Paris CitéFR20 papers
- Département de mathématiques et applicationsFR19 papers
- École Normale Supérieure - PSLFR19 papers
- Institut national de recherche en sciences et technologies du numériqueFR19 papers
- Université Paris-SaclayFR18 papers
- Institut Camille JordanFR17 papers
683 papers
Long time well-posedness and wave turbulence limit for a quadratic non-lienar Schr{ö}dinger equation with well prepared random initial data
Enguerrand Brun
We prove a long time well-posedness result for a quadratic non-linear Schr{ö}dinger equation with random well prepared initial conditions in dimension d 1. In some regimes, w…
Bernoulli determinants and cuspidal subgroups
François Brunault
We give an explicit formula for the order of the rational cuspidal class group of the modular curve for an arbitrary integer . The proof relies on results of Streng on…
Semi-classical limit of an attractive Fermi gas in one or two dimensions
Thomas Gamet
We study the ground-state of a Fermi gas with short range attrative interactions in one or two dimensions. N fermions are placed in a confining potential, and interact with each ot…
theory limit of a many-body bosonic free energy
Lucas Jougla, Nicolas Rougerie
We consider the quantum Gibbs state of an interacting Bose gas on the 2D torus. We set temperature, chemical potential and coupling constant in a regime where classical field theor…
Compact Quantitative Theories of Convex Algebras
Matteo Mio
We introduce the concept of compact quantitative equational theory. A quantitative equational theory is defined to be compact if all its consequences are derivable by means of fini…
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 2D…