6 citations · 13 across the 6 of their papers we have counts for
12 papers
Vanishing asymptotic Maslov index for conformally symplectic flows
Marie-Claude Arnaud, Anna Florio, Valentine Roos
Motivated by Mather theory of minimizing measures for symplectic twist dynamics, we study conformally symplectic flows on a cotangent bundle. These dynamics are the most general dy…
Steady Euler flows on with wild and universal dynamics
Pierre Berger, Anna Florio, Daniel Peralta-Salas
Understanding complexity in fluid mechanics is a major problem that has attracted the attention of physicists and mathematicians during the last decades. Using the concept of renor…
Quantitative conditions for right-handedness of flows
Anna Florio, Umberto Hryniewicz
We give a numerical condition for right-handedness of a dynamically convex Reeb flow on the -sphere. Our condition is stated in terms of an asymptotic ratio between the amount o…
A Conley-type Lyapunov function for the strong chain recurrent set
Olga Bernardi, Anna Florio, Jim Wiseman
Let be a continuous flow on a compact metric space . In this article we constructively prove the existence of a continuous Lyapunov funct…
Monetary-fiscal interactions under price level targeting
Guido Ascari, Anna Florio, Alessandro Gobbi
The adoption of a "makeup" strategy is one of the proposals in the ongoing review of the Fed's monetary policy framework. Another suggestion, to avoid the zero lower bound, is a mo…
Smooth conjugacy classes of 3D Axiom A flows
Anna Florio, Martin Leguil
We show a rigidity result for 3-dimensional contact Axiom A flows: given two 3D contact Axiom A flows whose restrictions to basic sets a…
Torsion of instability zones for conservative twist maps on the annulus
Anna Florio, Patrice Le Calvez
For a twist map of the annulus preserving the Lebesgue measure, we give sufficient conditions to assure the existence of a set of positive measure of points with non-zero asymp…
On the set of points of zero torsion for negative-torsion maps of the annulus
Anna Florio
For negative-torsion maps on the annulus we show that on every essential curve there is at least one point of zero torsion. As an outcome, we deduce that the Hausdo…
The generalized recurrent set, explosions and Lyapunov functions
Olga Bernardi, Anna Florio, Jim Wiseman
We consider explosions in the generalized recurrent set for homeomorphisms on a compact metric space. We provide multiple examples to show that such explosions can occur, in contra…
Torsion and Linking number for a surface diffeomorphism
Anna Florio
For a diffeomorphism isotopic to the identity, we prove that for any value of the linking number at finite…
Existence of Lipschitz continuous Lyapunov functions strict outside the strong chain recurrent set
Olga Bernardi, Anna Florio
The aim of this paper is to study in detail the relations between strong chain recurrence for flows and Lyapunov functions. For a continuous flow on a compact metric space, uniform…
A Conley-type decomposition of the strong chain recurrent set
Olga Bernardi, Anna Florio
For a continuous flow on a compact metric space, the aim of this paper is to prove a Conley-type decomposition of the strong chain recurrent set. We first discuss in details the ma…