Periods of periodic points for transitive degree one maps of the circle with a fixed point.
Persistence of invariant manifolds for perturbations of semiflows with symmetry.
Plenty of elliptic islands for the standard family of area preserving maps
Plus-operators in Krein spaces and dichotomous behavior of irreversible dynamical systems with discrete time
We study dichotomous behavior of solutions to a non-autonomous linear difference equation in a Hilbert space. The evolution operator of this equation is not continuously invertible and the corresponding unstable subspace is of infinite dimension in general. We formulate a condition ensuring the dichotomy in terms of a sequence of indefinite metrics in the Hilbert space. We also construct an example of a difference equation in which dichotomous behavior of solutions is not compatible with the signature...
Prevalence of non-Lipschitz Anosov foliations.
Prime Orbit Theorems with Multi-Dimensional Constraints for Axiom A Flows.
Produits semi-directs et application aux nilvariétés et aux tores en théorie ergodique
Propriétés ergodiques des mesures de Sinaï
Pseudo orbit tracing property and fixed points
If a continuous map f of a compact metric space has the pseudo orbit tracing property and is h-expansive then the set of all fixed points of f is totally disconnected.