A-cohomologie et opérateurs de récursion
Soient un groupe de Lie connexe de dimension , une action localement libre de classe de sur une variété compacte de dimension . Nous supposons qu’il existe dans l’algèbre de Lie de un champ tel que les valeurs propres de soient avec . Alors, nous montrons que est -conjuguée à une “action modèle" de sur un espace homogène où est un groupe de Lie contenant . Si , est uniquement déterminé par ; si , il y a deux groupes possibles, et nous pouvons donc donner une...
We describe all the group morphisms from the group of orientation-preserving homeomorphisms of the circle to the group of homeomorphisms of the annulus or of the torus.
Let f be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space (I,f), where I denotes the core of the map.
We determine when the equidistribution property for possibly moving targets holds for a rational function of degree more than one on the projective line over an algebraically closed field of any characteristic and complete with respect to a non-trivial absolute value. This characterization could be useful in the positive characteristic case. Based on a variational argument, we give a purely local proof of the adelic equidistribution theorem for possibly moving targets, which is due to Favre and...
The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton − Jacobi equations, and weakly coupled systems of obstacle type. In particular, new results about the speed of convergence of some approximation procedures are derived.