Representation theorem for stochastic differential equations in Hilbert spaces and its applications.
Représentations de (G compact) selon Verchik-Gelfand-Graiev et Ismagilov
Représentations des groupes de Lie compacts semi simples
Representations, duals and quantum doubles of monoidal categories
[For the entire collection see Zbl 0742.00067.]The Tanaka-Krein type equivalence between Hopf algebras and functored monoidal categories provides the heuristic strategy of this paper. The author introduces the notion of a double cross product of monoidal categories as a generalization of double cross product of Hopf algebras, and explains some of the motivation from physics (the representation theory for double quantum groups).The Hopf algebra constructions are formulated in terms of monoidal categories...
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
Representing Seashells Surface
Research works of Romanian mathematicians on centro-affine geometry.
Residual models for nonlinear partial differential equations.
Residues for monogenic forms on Riemannian manifolds
The paper extends the theory of residues on monogenic forms on domains in (monogenic forms are generalizations of holomorphic forms to Clifford analysis) to monogenic forms on orientable Riemann manifolds.
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...
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 n-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 n=2 and n=3): instead...
Restriction de la distance géodésique à un arc et rigidité