Complex Powers on Noncompact Manifolds and Manifolds with Singularities.
Complex scaling technique in non-relativistic massive QED
Complex velocities on real manifolds
Complexes of Differential Operators. The Mayer-Victoris Sequence.
Complexes of partial differential operators
Comportement asymptotique de la fonction spectrale de l'opérateur de Laplace-Beltrami sur une variété ayant des singularités coniques
Comportement asymptotique des fonctions harmoniques en courbure négative.
Comportement asymptotique des valeurs propres du laplacien dans un domaine avec un trou
Comportement asymptotique des valeurs propres du laplacien sur un ouvert à bord fractal
Comportement semi-classique des systèmes ergodiques
Composition of some singular Fourier integral operators and estimates for restricted -ray transforms
We establish a composition calculus for Fourier integral operators associated with a class of smooth canonical relations . These canonical relations, which arise naturally in integral geometry, are such that : is a Whitney fold and : is a blow-down mapping. If , , then a class of pseudodifferential operators with singular symbols. From this follows boundedness of with a loss of 1/4 derivative.
Computation of Lojasiewicz Exponent of ...(x, y)
Computing the differential of an unfolded contact diffeomorphism
Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of . Singularity classes containing bifurcation points with , are considered.
Concentration of the Brownian bridge on Cartan-Hadamard manifolds with pinched negative sectional curvature
We study the rate of concentration of a Brownian bridge in time one around the corresponding geodesical segment on a Cartan-Hadamard manifold with pinched negative sectional curvature, when the distance between the two extremities tends to infinity. This improves on previous results by A. Eberle, and one of us . Along the way, we derive a new asymptotic estimate for the logarithmic derivative of the heat kernel on such manifolds, in bounded time and with one space parameter...
Concentration phenomena for fourth-order elliptic equations with critical exponent.
Concentration phenomena of two-vortex solutions in a Chern-Simons model
By considering an abelian Chern-Simons model, we are led to study the existence of solutions of the Liouville equation with singularities on a flat torus. A non-existence and degree counting for solutions are obtained. The former result has an application in the Chern-Simons model.
Concerning a geometrical characterization of Fréchet differentiability
Concerning interior mapping theorem
Concerning locally homotopy negligible sets and characterization of -manifolds
Conditional expectations for derivatives of certain stochastic flows