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The idea of approximating a sequence of statistical experiments by a gaussian family goes back to Wald (1943), but has been fully developed by Lucien Le Cam, who introduced the term "local asymptotic ...
We study an infinite dimensional dynamical system that was proposed by J.C. Yoccoz and N.G. Yoccoz for modeling the population dynamics of some small rodents. We show an attractor exist in a large dom...
In geometric terms, given a singular foliation of the plane, a dicritical divisor is (whenever it exists) an irreducible component of the exceptional divisor which is transverse to the foliation. Abhy...
Abstract: We bound two global invariants of cusped hyperbolic manifolds: the length of the shortest closed geodesic (the systole), and the radius of the biggest embedded ball (the inradius). We give a...
Abstract: We pursue Arthur's invariant trace formula for certain coverings of connected reductive groups by deducing explicit formulas for its spectral side. This is based on some results in local har...
Abstract: We establish some results in local harmonic analysis which are necessary for Arthur's invariant trace formula for coverings of connected reductive groups. More precisely, for local coverings...
Abstract: We prove the existence of common fixed points for commuting homeomorphisms of the plane R^2 or the sphere S^2, which preserve a probability measure. For example: some commuting C^1-diffeomor...
Abstract: This paper deals with optimal control problems for systems affine in the control variable. We have nonnegativity constraints on the control, and finitely many equality and inequality constra...
Cette thèse traite des aspects géométriques et d’intégrabilité associés aux modèles de matrices aléatoires. Son but est de présenter diverses applications des modèles de matrices aléatoires allant d...
Soit X un germe de vari´et´e complexe lisse en x 2 PN, `a osculation q-r´eguli`ere et tel que, pour toute direction v 2 PTxX, il existe une courbe rationnelle normale de degr´e...
Nous démontrons l’intégralité des coefficients de Taylor de racines de séries de la forme q(z) := z exp(G(z)/F(z)), où F(z) et G(z) + log(z)F(z) sont des solutions particulières de certaines équations...
Let Xd be the p-adic analytic space classifying the semisimple continuous representations Gal(Qp/Qp) → GLd(Qp). We show that the crystalline representations are Zarski-dense in many irreducible compon...
On généralise la construction de Habermann et Jost de métrique canonique dans une classe conforme Yamabe-positive, faite à l’aide de la singularité de la fonction de Green du laplacien conforme.
We define the notion of strong projective limit of Banach Lie algebroids. We study the associated structures of Fr´echet bundles and the compatibility with the different morphisms. We then use t...

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