Packing dimensions, transversal mappings and geodesic flows.
Parametric representations of semi-complete vector fields on the unit balls in and in Hilbert space
We present several characterizations and representations of semi-complete vector fields on the open unit balls in complex Euclidean and Hilbert spaces.
Periodic points and rotation numbers for area preserving diffeomorphisms of the plane
Periodic segments and Nielsen numbers
We prove that the Poincaré map has at least fixed points (whose trajectories are contained inside the segment W) where the homeomorphism is given by the segment W.
Periodic solutions to Maxwell equations in nonlinear media
Periods for holomorphic maps via Lefschetz numbers.
Perturbing away singularity from area-minimizing hypercones.
Petites valeurs propres et classe d’Euler des fibrés
Pincement de la première valeur propre du laplacien pour les hypersurfaces et rigidité
Robert C. Reilly a obtenu des majorations de la première valeur propre du laplacien pour les hypersurfaces de l’espace euclidien. De plus, il a montré que le cas d’égalité dans ces majorations est atteint uniquement pour les sphères géodésiques. Dans cet exposé, nous nous intéressons au problème de pincement pour ces majorations. Nous montrons que si le cas d’égalité est presque atteint, alors l’hypersurface est proche d’une sphère, en un sens que nous préciserons. Nous déduisons ensuite des résultats...
Pointwise Characterization of Ideals of Differentiable Functions.
Poisson geometry of flat connections for SU(2)-bundles on surfaces.
Poisson structures on certain moduli spaces for bundles on a surface
Let be a closed surface, a compact Lie group, with Lie algebra , and a principal -bundle. In earlier work we have shown that the moduli space of central Yang-Mills connections, with reference to appropriate additional data, is stratified by smooth symplectic manifolds and that the holonomy yields a homeomorphism from onto a certain representation space , in fact a diffeomorphism, with reference to suitable smooth structures and , where denotes the universal central extension of...
Polyèdre de Newton et genre géométrique d'une singularité intersection complète
Polynomial diffeomorphisms of C2: currents, equilibrium measure and hyperbolicity.
Polynomial diffeomorphisms of C2. IV: The measure of maximal entropy and laminar currents.
Positive quadratic differential forms : linearization, finite determinacy and versal unfolding
Positive solutions of nonlinear delay integral equations modelling epidemics and population growth.
Preparation theorems for matrix valued functions
We generalize the Malgrange preparation theorem to matrix valued functions satisfying the condition that vanishes to finite order at . Then we can factor near (0,0), where is inversible and is polynomial function of depending on . The preparation is (essentially) unique, up to functions vanishing to infinite order at , if we impose some additional conditions on . We also have a generalization of the division theorem, and analytic versions generalizing the Weierstrass preparation...
Preparation theorems for systems
Problèmes d'intersections et de points fixes en géométrie hamiltonienne.