Action moyennable d'un groupe localement compact sur une algèbre de von Neumann II.
Systèmes dynamiques non commutatifs et moyennabilité.
On relative amenability for von Neumann algebras
Classification des C*-algèbres purement infinies nucléaires
Action moyennable d'un groupe localement compact sur une algebre de von Neumann.
Purely infinite -algebras arising from dynamical systems
Pointwise limits for sequences of orbital integrals
In 1967, Ross and Stromberg published a theorem about pointwise limits of orbital integrals for the left action of a locally compact group G on (G,ρ), where ρ is the right Haar measure. We study the same kind of problem, but more generally for left actions of G on any measure space (X,μ), which leave the σ-finite measure μ relatively invariant, in the sense that sμ = Δ(s)μ for every s ∈ G, where Δ is the modular function of G. As a consequence, we also obtain a generalization of a theorem of Civin...
Extensions des -algèbres
Quelques problèmes concernant la structure des -algèbres
Schémas en groupes, espaces homogènes et espaces algébriques sur une base de dimension 1
Dénombrement de géodésiques fermées, sous contraintes homologiques
Precise counting results for closed orbits of Anosov flows
Entropy and localization of eigenfunctions
On the zero-temperature or vanishing viscosity limit for certain Markov processes arising from Lagrangian dynamics
We study the zero-temperature limit for Gibbs measures associated to Frenkel–Kontorova models on . We prove that equilibrium states concentrate on configurations of minimal energy, and, in addition, must satisfy a variational principle involving metric entropy and Lyapunov exponents, a bit like in the Ruelle–Pesin inequality. Then we transpose the result to certain continuous-time stationary stochastic processes associated to the viscous Hamilton–Jacobi equation. As the viscosity vanishes, the...
The sequence of Rademacher averages of measurable sets
The article contains no abstract
Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés
Groupe modulaire d'une espérance conditionnelle dans une algèbre de von Neumann
Existence of minimizers for Kohn-Sham models in quantum chemistry
Some decay properties for the damped wave equation on the torus
This article is a proceedings version of the ongoing work [
Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
We study the high-energy eigenfunctions of the Laplacian on a compact Riemannian manifold with Anosov geodesic flow. The localization of a semiclassical measure associated with a sequence of eigenfunctions is characterized by the Kolmogorov-Sinai entropy of this measure. We show that this entropy is necessarily bounded from below by a constant which, in the case of constant negative curvature, equals half the maximal entropy. In this sense, high-energy eigenfunctions are at least half-delocalized....
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