66 citations · 172 across the 22 of their papers we have counts for
22 papers
Graphes dans les surfaces et ergodicité topologique
Dustin Connery-Grigg, François Lalonde, Jordan Payette
The simplest way to make a dynamical system out of a finite connected graph is to give it a polarization, that is to say a cyclic ordering of the edges incident to a vertex, fo…
Continuous Covers on Symplectic Manifolds
François Lalonde, Jordan Payette
In this article, we first introduce the notion of a {\it continuous cover} of a manifold parametrised by any compact manifold endowed with a mass 1 volume-form. We prove that any s…
Proof of the main conjecture on g-areas
François Lalonde, Egor Shelukhin
In this paper, we prove the main conjecture on -areas that was announced by the first author in 2004. It states that the -area of any Hamiltonian diffeomorphism is equal…
On the injectivity radius in Hofer's geometry
François Lalonde, Yakov Savelyev
In this note we consider the following conjecture: given any closed symplectic manifold , there is a sufficiently small real positive number such that the open ball of radiu…
The -areas and the commutator length
François Lalonde, Andrei Teleman
The commutator length of a Hamiltonian diffeomorphism of a closed symplectic manifold is by definition the minimal such that can be writte…
An example concerning Hamiltonian groups of self product, I
Shengda Hu, Francois Lalonde
We show that , with , is an example of symplectic manifold such that the contains extra elements…