Add to ORKGAbstract. We prove that if f is a partially hyperbolic diffeomor-phism on the compact manifold M with one dimensional center bun-dle, then the logarithm of the spectral radius of the map induced by f on the real homology groups of M is smaller or equal to the topo-logical entropy of f. This is a particular case of the Shub’s entropy conjecture, which claims that the same conclusion should be true for any C1 map on any compact manifold
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
56 pages, 2 figures. Proofs of the local perturbative tools to appear in a separate paper. Accepted ...
We study the compactness in View the MathML sourceLloc1 of the semigroup mapping (St)t>0(St)t>0 defi...
AbstractWe prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with o...
We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimen...
We prove that every C-1 diffeomorphism away from homoclinic tangencies is entropy expansive, with lo...
In this note we show that, for a class of partially hyperbolic C-r (r >= 1) diffeomorphisms, (1) ...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
In the theory of surface diffeomorphisms relative to homoclinic and heteroclinic orbits, it is possi...
Abstract. In this paper we study the effect of a homoclinic tan-gency in the variation of the topolo...
A Liao hyperbolic diffeomorphism has equal measure entropy and topological entropy to that of its in...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
23 pages, 0 figuresWe prove that for some manifolds $M$ the set of robustly transitive partially hyp...
In the first part of this thesis we consider a pair of commuting diffeomorphisms (f,g) of a compact ...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
56 pages, 2 figures. Proofs of the local perturbative tools to appear in a separate paper. Accepted ...
We study the compactness in View the MathML sourceLloc1 of the semigroup mapping (St)t>0(St)t>0 defi...
AbstractWe prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with o...
We prove that if f is a partially hyperbolic diffeomorphism on the compact manifold M with one dimen...
We prove that every C-1 diffeomorphism away from homoclinic tangencies is entropy expansive, with lo...
In this note we show that, for a class of partially hyperbolic C-r (r >= 1) diffeomorphisms, (1) ...
Abstract. We prove an inequality between topological entropy and asy-mptotical growth of periodic or...
In the theory of surface diffeomorphisms relative to homoclinic and heteroclinic orbits, it is possi...
Abstract. In this paper we study the effect of a homoclinic tan-gency in the variation of the topolo...
A Liao hyperbolic diffeomorphism has equal measure entropy and topological entropy to that of its in...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
23 pages, 0 figuresWe prove that for some manifolds $M$ the set of robustly transitive partially hyp...
In the first part of this thesis we consider a pair of commuting diffeomorphisms (f,g) of a compact ...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
56 pages, 2 figures. Proofs of the local perturbative tools to appear in a separate paper. Accepted ...
We study the compactness in View the MathML sourceLloc1 of the semigroup mapping (St)t>0(St)t>0 defi...