This paper is devoted to the study of the space of discrete symmetries of smooth flows and
their time-t maps, namely the space of diffeomorphisms which commute with a flow and its …

Given r⩾ 1, the discrete C r-centralizer of a vector field is formed by the set of its symmetries,
that is, the set of C r-diffeomorphisms commuting with the flow generated by it. Here we …

In this paper, we introduce a new concept of expansiveness, similar to the separating
property. Specifically, we consider a compact Riemannian manifold M without boundary and …

Stable accessibility of partially hyperbolic systems is central to their stable ergodicity, and we
establish its-density among partially hyperbolic flows, as well as in the categories of volume …

We show a rigidity result for 3-dimensional contact Axiom A flows: given two 3D contact
Axiom A flows $\Phi_1,\Phi_2 $ whose restrictions $\Phi_1| _ {\Lambda_1},\Phi_2 …

In this paper, we study the centralizer of a separating continuous flow without fixed points.
We show that if M is a compact metric space and ϕ t: M→ M is a separating flow without fixed …

In this paper we study the discrete centralizers of smooth flows and their time-t maps. We first
prove that the centralizer of a smooth flow is determined by the centralizer of two rationally …

We show a rigidity result for 3-dimensional contact Axiom A flows: given two 3D contact
Axiom A flows Φ1, Φ2 whose restrictions Φ1| Λ1, Φ2| Λ2 to basic sets Λ1, Λ2 are orbit …