Remarques sur le revêtement universel des variétés kählériennes compactes
Remarques sur les systèmes différentiels
Remarques sur les variétés conformément plates.
Removability of singularities of harmonic maps into pseudo-riemannian manifolds
Removable singularities for the Yang-Mills-Higgs equations in two dimensions
Report on M. Gromov's almost flat manifolds
Representation of Markoff's binary quadratic forms by geodesics on a perforated torus
Representation of non-Hamiltonian vector fields in the coordinates of the observer via the isosymplectic geometry.
Representation theorem for stochastic differential equations in Hilbert spaces and its applications.
Représentations de (G compact) selon Verchik-Gelfand-Graiev et Ismagilov
Représentations irréductibles des fibrés de Clifford
Representations of Compact Lie Groups and Elliptic Operators.
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells
Representations of polygons of finite groups.
Representations of the group of functions taking values in a compact Lie group
Representations of the group of smooth mappings of a manifold X into a compact Lie group
Résolubilité sur un espace riemannien symétrique
Résolution des équations aux connexions du cas antisymétrique de la théorie unitaire hypercomplexe. Application à un principe variationnel
Resolvent Flows for Convex Functionals and p-Harmonic Maps
We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such functions as the large time limit of the resolvents, which generalizing pioneering work by Jost for convex functionals on complete CAT(0)-spaces. The results can be applied to Lp-Wasserstein space over complete p-uniformly convex spaces. As an application,...
Resonance of minimizers for n-level quantum systems with an arbitrary cost
We consider an optimal control problem describing a laser-induced population transfer on a -level quantum system. For a convex cost depending only on the moduli of controls (i.e. the lasers intensities), we prove that there always exists a minimizer in resonance. This permits to justify some strategies used in experimental physics. It is also quite important because it permits to reduce remarkably the complexity of the problem (and extend some of our previous results for and ): instead of looking...