Add to ORKGLet M be a smooth compact connected manifold, on which there exists an effective smooth circle action preserving a positive smooth volume. On M, we construct volume-preserving diffeomorphisms that are metrically isomorphic to ergodic translations on the torus, translations in which one given coordinate of the translation is an arbitrary Liouville number. To obtain this result, we explicitly construct the sequence of successive conjugacies in Anosov-Katok's periodic approximation method, with suitable estimates of their norm. To visualize the construction, we include numerous graphics
Suppose that $M$ is a closed isotropic Riemannian manifold and that $R_1,...,R_m$ generate the isome...
We consider a toral Anosov automorphism G γ : T γ → T γ given by G γ (x, y) = (ax+ y, x) in the bas...
We study measure-theoretical aspects of torus piecewise isometries. Not much is known about this typ...
Let M be a smooth compact connected manifold, on which there exists an effective smooth circle actio...
This thesis deals with some questions on differentiable dynamical systems. It comprises two relative...
ABSTRACT. – Let M be an m-dimensional differentiable manifold with a nontrivial circle action S = {S...
We construct an uncountable family of smooth ergodic zero-entropy di ffeomorphisms that are pairwise...
We prove that the family of measured dynamical systems which can be realised as uniquely ergodic min...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of th...
Following proposals of Ostrover and Polterovich, we introduce and study "coarse" and "fine" versions...
Let $X_1^t$ and $X_2^t$ be volume preserving Anosov flows on a 3-dimensional manifold $M$. We prove ...
30 pagesLet T be an ergodic automorphism of the d-dimensional torus. In the spirit of Le Borgne, we ...
International audienceWe give a simple proof of Kolmogorov's theorem on the persistence of a quasipe...
This is the author accepted manuscript. The final version is available from IOP Publishing via the D...
Suppose that $M$ is a closed isotropic Riemannian manifold and that $R_1,...,R_m$ generate the isome...
We consider a toral Anosov automorphism G γ : T γ → T γ given by G γ (x, y) = (ax+ y, x) in the bas...
We study measure-theoretical aspects of torus piecewise isometries. Not much is known about this typ...
Let M be a smooth compact connected manifold, on which there exists an effective smooth circle actio...
This thesis deals with some questions on differentiable dynamical systems. It comprises two relative...
ABSTRACT. – Let M be an m-dimensional differentiable manifold with a nontrivial circle action S = {S...
We construct an uncountable family of smooth ergodic zero-entropy di ffeomorphisms that are pairwise...
We prove that the family of measured dynamical systems which can be realised as uniquely ergodic min...
The functional relations between the coordinates of points on a manifold make the study of Diophanti...
We found a dichotomy involving the unstable Lyapunov exponent of a special Anosov endomorphism of th...
Following proposals of Ostrover and Polterovich, we introduce and study "coarse" and "fine" versions...
Let $X_1^t$ and $X_2^t$ be volume preserving Anosov flows on a 3-dimensional manifold $M$. We prove ...
30 pagesLet T be an ergodic automorphism of the d-dimensional torus. In the spirit of Le Borgne, we ...
International audienceWe give a simple proof of Kolmogorov's theorem on the persistence of a quasipe...
This is the author accepted manuscript. The final version is available from IOP Publishing via the D...
Suppose that $M$ is a closed isotropic Riemannian manifold and that $R_1,...,R_m$ generate the isome...
We consider a toral Anosov automorphism G γ : T γ → T γ given by G γ (x, y) = (ax+ y, x) in the bas...
We study measure-theoretical aspects of torus piecewise isometries. Not much is known about this typ...