output
19932026
most citedOn Landau damping

467 citations

683 papers

math.AP2026

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…

math.NT2026

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…

math-ph2026

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…

math.AP2025

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…

cs.LO2025

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…

math.AP2025

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…