Epi-differentiability and optimality conditions for an extremal problem under inclusion constraints.
Équation différentielle stochastique (EDS) sur et sur
Equations aux différences finies et déterminants d'intégrales de fonctions multiformes.
Equations de Fokker-Planck géométriques II : estimations hypoelliptiques maximales
Nous donnons des résultats analytiques sur les propriétés de régularité du laplacien hypoelliptique de Jean-Michel Bismut et plus généralement sur les opérateurs de type Fokker-Planck géométrique agissant sur le fibré cotangent d’une variété riemannienne compacte . En particulier, nous prouvons un résultat d’hypoellipticité maximale pour , et nous en déduisons des bornes sur la localisation de ses valeurs spectrales.
Équations de Monge-Ampère invariantes sur les variétés Riemanniennes compactes
Équations différentielles algébriques
Équations différentielles caractéristiques de la sphère
Equidistribution of cusp forms on
We prove a microlocal version of the equidistribution theorem for Wigner distributions associated to cusp forms on . This generalizes a recent result of W. Luo and P. Sarnak who prove equidistribution on .
Equilogical spaces, homology and non-commutative geometry
Equivalence and zero sets of certain maps in infinite dimensions
Equivalence and zero sets of certain maps on infinite dimensional spaces are studied using an approach similar to the deformation lemma from the singularity theory.
Equivalence of differentiable functions, rational functions and polynomials
We show under some assumptions that a differentiable function can be transformed globally to a polynomial or a rational function by some diffeomorphism. One of the assumptions is that the function is proper, the number of critical points is finite, and the Milnor number of the germ at each critical point is finite.
Equivalence of differentiable mappings and analytic mappings
Equivalence of generic mappings and normalization
Equivalence of Glancing Hypersurfaces. II.
Equivalence problem for Lagrangians
Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents
We formulate the equivalence problem, in the sense of É. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalence problem is the variety of minimal rational tangents. We study the case when varieties of minimal rational tangents at general points form an isotrivial family. The main question in this case is for which projective variety , a family of minimal rational curves with -isotrivial varieties of minimal rational tangents...
Équivalence projective et équivalence conforme
Equivariance, variational principles, and the Feynman integral.
Equivariant Bott-Chern currents and the Ray-Singer analytic torsion.
Equivariant Cohomology and Topological Theories