The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
The behaviour of the nonwandering set of a piecewise monotonic interval map under small perturbations
In this paper piecewise monotonic maps are considered. Let be a finite union of open intervals, and consider the set of all points whose orbits omit . The influence of small perturbations of the endpoints of the intervals in on the dynamical system is investigated. The decomposition of the nonwandering set into maximal topologically transitive subsets behaves very unstably. Nonetheless, it is shown that a maximal topologically transitive subset cannot be completely destroyed by arbitrary...
The hypothesis in Pesin theory
The Dynamical Complexity of Orientation Reversing Homeomorphisms of Surfaces.
The existence of an a.c.i.p.m. for an expanding map of the interval; the study of a counterexample
The K-property of N billiard balls I.
The K-property of N billiard balls II. Computation of neutral linear spaces.
The Lipschitz condition for the conjugacies of Feigenbaum-like mappings
The nonexistence of expansive homeomorphisms of dendroids
The simplest shadowing
Two different and easy proofs are presented that a hyperbolic linear homeomorphism of a Banach space admits the shadowing.
The Teichmüller space of an Anosov diffeomorphis of T2.
The topological behaviour of a diffeomorphism near a fixed point.
The zeta functions of Ruelle and Selberg. I
Topological invariance of the Collet–Eckmann property for S-unimodal maps
We prove that if f, g are smooth unimodal maps of the interval with negative Schwarzian derivative, conjugated by a homeomorphism of the interval, and f is Collet-Eckmann, then so is g.
Topological superrigidity and Anosov actions of lattices
Transversely affine foliations of some surface bundles over of pseudo-Anosov type
We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.
Travaux de D. Anosov et S. Smale sur les difféomorphismes
Travaux de Thurston sur les difféomorphismes des surfaces et l'espace de Teichmüller
Twisted cocycles and rigidity problems.