If a partially hyperbolic diffeomorphism on a torus of dimension d greater than 3 has stable and unstable foliations which are quasi-isometric on the universal cover, and its center direction is one-dimensional, then the diffeomorphism is leaf conjugate to a linear toral automorphism. In other words, the hyperbolic structure of the diffeomorphism is exactly that of a linear, and thus simple to understand, example. In particular, every partially hyperbolic diffeomorphism on the 3-torus is leaf conjugate to a linear toral automorphism.Ph
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological pro...
We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus...
If a partially hyperbolic diffeomorphism on a torus of dimension d greater than 3 has stable and un...
If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffe...
The mathematical theory of hyperbolic tonal automorphisms displays many interesting facets. In this ...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with fini...
In this paper we mainly address the problem of disintegration of Lebesgue measure along the central ...
Shub and Wilkinson and Ruelle and Wilkinson studied a class of volume preserving diffeomorphisms on ...
We consider dimension 3 vector fields (resp. diffeomorphisms), in a neighborhood of a hyperbolic sad...
The main target of this work are the Anosov diffeomorphisms. Fundamental properties of dynamical sys...
We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{...
Abstract. We show that partially hyperbolic diffeomorphisms of the 3-torus are dynamically coherent....
International audienceIn this paper, we prove that given two $C^1$ foliations $F$ and $G$ on $\mathb...
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological pro...
We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus...
If a partially hyperbolic diffeomorphism on a torus of dimension d greater than 3 has stable and un...
If a non-ergodic, partially hyperbolic diffeomorphism on the 3-torus is homotopic to an Anosov diffe...
The mathematical theory of hyperbolic tonal automorphisms displays many interesting facets. In this ...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
The thesis classifies partially hyperbolic diffeomorphisms with a compact center foliation with fini...
In this paper we mainly address the problem of disintegration of Lebesgue measure along the central ...
Shub and Wilkinson and Ruelle and Wilkinson studied a class of volume preserving diffeomorphisms on ...
We consider dimension 3 vector fields (resp. diffeomorphisms), in a neighborhood of a hyperbolic sad...
The main target of this work are the Anosov diffeomorphisms. Fundamental properties of dynamical sys...
We show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{...
Abstract. We show that partially hyperbolic diffeomorphisms of the 3-torus are dynamically coherent....
International audienceIn this paper, we prove that given two $C^1$ foliations $F$ and $G$ on $\mathb...
Abstract. These are notes for a minicourse given at UFRJ in the conference “A week on dynamical syst...
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological pro...
We give three equivalent conditions for non-accessibility of an Anosov diffeomorphism on the 3-torus...