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20022026
most citedThe Incompressible Navier-Stokes Limit of the Boltzmann Equation for Hard Cutoff Potentials

97 citations

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math.AP2023

Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials

François Golse, Cyril Imbert, Luis Silvestre

We prove that the set of singular times for weak solutions of the homogeneous Boltzmann equation with very soft potentials constructed as in Villani (1998) has Hausdorff dimension…

math.DS2023

Birkhoff attractors of dissipative billiards

Olga Bernardi, Anna Florio, Martin Leguil

We study the dynamics of dissipative billiard maps within planar convex domains. Such maps have a global attractor. We are interested in the topological and dynamical complexity of…

math.AG2023

Local structure of the Teichmüller and the Riemann moduli stacks

An Khuong Doan

The goal of this note is to introduce an interesting question proposed by D. Rydh on an analytic version of the local structure of Artin stacks saying that near points with linearl…

math.AG2023

Singularities of functions: a global point of view

Claude Sabbah

This text surveys cohomological properties of pairs consisting of a smooth complex quasi-projective variety together with a regular function on~it. On the one hand, one…

math.AP2023

Stability of homogeneous equilibria of the Hartree-Fock equation, for its equivalent formulation for random fields

Charles Collot, Elena Danesi, Anne-Sophie de Suzzoni +1

The Hartree-Fock equation admits homogeneous states that model infinitely many particles at equilibrium. We prove their asymptotic stability in large dimensions, under assumptions…

math.AG2023

Families of automorphisms of abelian varieties

Charles Favre, Alexandra Kuznetsova

We consider some algebraic aspects of the dynamics of an automorphism on a family of polarized abelian varieties parameterized by the complex unit disk. When the action on the coho…