4 Feuilletages et mécanique hamiltonienne
A Foliated Metric Rigidity Theorem for Higher Rank Irreducible Symmetric Spaces.
A locally commutative free group acting on the plane
The purpose of this paper is to prove the existence of a free subgroup of the group of all affine transformations on the plane with determinant 1 such that the action of the subgroup is locally commutative.
A stability theorem for foliations with singularities [Book]
About Stefan's definition of a foliation with singularities : a reduction of the axioms
Actions localement libres de groupes non unimodulaires
Actions localement libres de groupes résolubles
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...
Affine diffeomorphisms of translation surfaces : periodic points, fuchsian groups, and arithmeticity
An analogue of the Variational Principle for group and pseudogroup actions
We generalize to the case of finitely generated groups of homeomorphisms the notion of a local measure entropy introduced by Brin and Katok [7] for a single map. We apply the theory of dimensional type characteristics of a dynamical system elaborated by Pesin [25] to obtain a relationship between the topological entropy of a pseudogroup and a group of homeomorphisms of a metric space, defined by Ghys, Langevin and Walczak in [12], and its local measure entropies. We prove an analogue of the Variational...
Anosov Flows on New Three Manifolds.
Area preserving group actions on surfaces.
Asymptotic flag of an orientable measured foliation
Basics of Lagrangian foliations.
The paper is an exposition of basic known local and global results on Lagrangian foliations such as the Theorem of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.
Bifurcation and stability of families of hyperbolic vector fields in dimension three
Bifurcations and global stability of families of gradients
Bifurcations and stability of families of diffeomorphisms
Canonical realizations of Lie algebras associated with foliated coadjoint orbits
Cohomologically rigid vector fields : the Katok conjecture in dimension 3
Corrigendum to the paper "Semigroup actions on tori and stationary measures on projective spaces" (Studia Math. 171 (2005), 33-66)
Counterexamples to the Seifert conjecture.