Let f : M -> M be a C² diffeomorphism of a compact surface. We prove a Spectral Decomposition Theorem for the limit set L(f) under the assumption of dominated splitting. As a fundamental step, we show that in any compact invariant set having dominated splitting, the periods of the non-hyperbolic periodic points are bounded
On veut comprendre les implications dynamiques de l'absence de décompositions dominées. Une décompos...
Let f: M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove t...
Let f:M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Abstract. We prove that given a compact n-dimensional boundaryless man-ifold M, n ≥ 2, there exists ...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
In this paper, we show existence of Markov covers for C² surface diffeomorphisms with a dom...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
Abstract. A C1 diffeomorphism φ on a compact boundaryless manifold is said to exhibit an i-eigenvalu...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
We show that a periodic orbit of large period of a diffeomorphism or flow, either admits a dominated...
Revised version, some mistakes corrected (e.g. in Section 3)We study the Ruelle dynamical determinan...
On veut comprendre les implications dynamiques de l'absence de décompositions dominées. Une décompos...
Let f: M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove t...
Let f:M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Abstract. We prove that given a compact n-dimensional boundaryless man-ifold M, n ≥ 2, there exists ...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
In this paper, we show existence of Markov covers for C² surface diffeomorphisms with a dom...
We want to understand the dynamics in absence of dominated splittings. A dominated splitting is a we...
Abstract. A C1 diffeomorphism φ on a compact boundaryless manifold is said to exhibit an i-eigenvalu...
International audienceWe prove that given a compact n-dimensional boundaryless manifold M, n >=2, th...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
We show that a periodic orbit of large period of a diffeomorphism or flow, either admits a dominated...
Revised version, some mistakes corrected (e.g. in Section 3)We study the Ruelle dynamical determinan...
On veut comprendre les implications dynamiques de l'absence de décompositions dominées. Une décompos...
Let f: M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove t...
Let f:M →M be a Cr-diffeomorphism, r ≥ 1, defined on a compact boundary-less manifold M. We prove th...