6 citations · 15 across the 8 of their papers we have counts for
11 papers
The completion of the set of Lagrangians and applications to dynamics -- Based on lectures by C. Viterbo
Olga Bernardi, Francesco Morabito
The goal of these lectures is to introduce the completion of the set of Lagrangian submanifolds of a symplectic manifold with respect to the spectral metric first introduced by V.…
Totally integrable symplectic billiards are ellipses
Luca Baracco, Olga Bernardi
In this paper we prove that a totally integrable strictly-convex symplectic billiard table, whose boundary has everywhere strictly positive curvature, must be an ellipse. The proof…
On the local maximizers of higher capacity ratios
Luca Baracco, Olga Bernardi, Christian Lange +1
We prove an analogue of the 4-dimensional local Viterbo conjecture for the higher Ekeland-Hofer capacities: on the space of 4-dimensional smooth star-shaped domains of unitary volu…
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…
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…
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…