Conditional expectations for derivatives of certain stochastic flows
Conditions de Bohr-Sommerfeld pour les singularités focus-focus et monodromie quantique
Je présenterai les résultats d’une étude microlocale détaillée du spectre joint de deux opérateurs h-pseudo-différentiels qui commutent sur une variété de dimension deux en présence d’une singularité dite «focus-focus». L’étude couvre par exemple le cas du pendule sphérique étudié par Duistermaat, ou du fond de la bouteille de champagne, mais les phénomènes observés sont universels. On en observe principalement deux: une accumulation de valeurs propres au voisinage de la singularité en par rapport...
Conditions de positivité dans une variété symplectique complexe. Applications à l'étude de l'hypoellipticité analytique
Conditions de positivité dans une variété symplectique complexe. Application à l'étude des microfonctions
Conditions de Whitney et sections planes.
Conditions for global existence of solutions of ordinary differential, stochastic differential, and parabolic equations.
Cône normal et régularités de Kuo-Verdier
Nous introduisons de nouvelles régularités de Kuo-Verdier et montrons que pour une stratification
Cônes symplectiques et opérateurs de Toeplitz
Configuration spaces and Vassiliev classes in any dimension.
Confomal deformations on a noncompact Riemannian manifold.
Conformal curvature for the normal bundle of a conformal foliation
It is proved that the normal bundle of a distribution on a riemannian manifold admits a conformal curvature if and only if is a conformal foliation. Then is conformally flat if and only if vanishes. Also, the Pontrjagin classes of can be expressed in terms of .
Conformal Dirichlet-Neumann maps and Poincaré-Einstein manifolds.
Conformal Fields and Stability.
Conformal geometry and global solutions to the Yamabe equations on classical pseudo-Riemannian manifolds
Conformal Geometry and the Composite Membrane Problem
We show that a certain eigenvalue minimization problem in two dimensions for the Laplace operator in conformal classes is equivalent to the composite membrane problem. We again establish such a link in higher dimensions for eigenvalue problems stemming from the critical GJMS operators. New free boundary problems of unstable type arise in higher dimensions linked to the critical GJMS operator. In dimension four, the critical GJMS operator is exactly the Paneitz operator.
Conformal gradient vector fields on a compact Riemannian manifold
It is proved that if an n-dimensional compact connected Riemannian manifold (M,g) with Ricci curvature Ric satisfying 0 < Ric ≤ (n-1)(2-nc/λ₁)c for a constant c admits a nonzero conformal gradient vector field, then it is isometric to Sⁿ(c), where λ₁ is the first nonzero eigenvalue of the Laplacian operator on M. Also, it is observed that existence of a nonzero conformal gradient vector field on an n-dimensional compact connected Einstein manifold forces it to...
Conformal harmonic forms, Branson–Gover operators and Dirichlet problem at infinity
For odd-dimensional Poincaré–Einstein manifolds , we study the set of harmonic -forms (for ) which are (with ) on the conformal compactification of . This set is infinite-dimensional for small but it becomes finite-dimensional if is large enough, and in one-to-one correspondence with the direct sum of the relative cohomology and the kernel of the Branson–Gover [3] differential operators on the conformal infinity . We also relate the set of forms in the kernel of to the conformal...
Conformal Imbeddings of the Complex Projective Plane and Self-Dual Connections.
Conformal indices of riemannian manifolds
Conformal invariant wave equations for spin zero and spin fields on de Sitter space