Add to ORKGWe show that every codimension one partially hyperbolic diffeomorphism must support on $\mathbb{T}^{n}$. It is locally uniquely integrable and derived from a linear codimension one Anosov diffeomorphism. Moreover, this system is intrinsically ergodic, and the A. Katok's conjecture about the existence of ergodic measures with intermediate entropies holds for it.Comment: 26 pages, 5 figures. Any suggestions and comments are welcom
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimen...
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium ...
We introduce the notion of \textit{fibered lifted partially hyperbolic diffeomorphisms} and we prove...
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ w...
We present the topological transitivity of a class of diffeomorphisms on the thickened torus, includ...
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological pro...
We show that if a hyperbolic 3-manifold admits a partially hyperbolic diffeomorphism then it also ad...
We introduce a notion of autonomous dynamical systems and apply it to prove rigidity of partially hy...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
AbstractWe prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with o...
AbstractThe known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong ...
International audienceLet M be a closed 3–manifold which admits an Anosov flow. We develop a techniq...
For every $r\in\mathbb{N}_{\geq 2}\cup\{\infty\}$, we prove a $C^r$-orbit connecting lemma for dynam...
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of th...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimen...
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium ...
We introduce the notion of \textit{fibered lifted partially hyperbolic diffeomorphisms} and we prove...
In this paper, we study the centralizer of a partially hyperbolic diffeomorphism on $\mathbb{T}^3$ w...
We present the topological transitivity of a class of diffeomorphisms on the thickened torus, includ...
In this work, we deal with a notion of partially hyperbolic endomorphism. We explore topological pro...
We show that if a hyperbolic 3-manifold admits a partially hyperbolic diffeomorphism then it also ad...
We introduce a notion of autonomous dynamical systems and apply it to prove rigidity of partially hy...
There is a slight disparity in smooth ergodic theory, between Pesin the-ory and the Pugh-Shub partia...
AbstractWe prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with o...
AbstractThe known examples of transitive partially hyperbolic diffeomorphisms on 3-manifolds belong ...
International audienceLet M be a closed 3–manifold which admits an Anosov flow. We develop a techniq...
For every $r\in\mathbb{N}_{\geq 2}\cup\{\infty\}$, we prove a $C^r$-orbit connecting lemma for dynam...
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of th...
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is...
We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimen...
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium ...