97 citations
- École PolytechniqueFR93 papers
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11 papers · 1 filter
Asymptotic quantization for probability measures on Riemannian manifolds
Mikaela Iacobelli
In this paper we study the quantization problem for probability measures on Riemannian manifolds. Under a suitable assumption on the growth at infinity of the measure we find asymp…
De Newton à Boltzmann et Einstein: validation des modèles cinétiques et de diffusion
François Golse
The kinetic theory of Maxwell and Boltzmann has been the subject of major scientific controversies. The alleged incompatibility between the reversible nature of the equations of cl…
On the lexicographic degree of two-bridge knots
Erwan Brugallé, Pierre-Vincent Koseleff, Daniel Pecker
We study the degree of polynomial representations of knots. We obtain the lexicographic degree for two-bridge torus knots and generalized twist knots. The proof uses the braid theo…
On the Classical Limit of the Schrödinger Equation
Claude Bardos, François Golse, Peter Markowich +1
This paper provides an elementary proof of the classical limit of the Schrödinger equation with WKB type initial data and over arbitrary long finite time intervals. We use only the…
Webs invariant by rational maps on surfaces
Charles Favre, Jorge Vitorio Pereira
We prove that under mild hypothesis rational maps on a surface preserving webs are of Lattès type. We classify endomorphisms of P^2 preserving webs, extending former results of Dab…
Euler-Poincaré pairing, Dirac index and elliptic pairing for Harish-Chandra modules
David Renard
Let be a connected real reductive group with maximal compact subgroup of equal rank, and let be the category of Harish-Chandra modules for . We relate three…