5 citations · 19 across the 10 of their papers we have counts for
10 papers
The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
Simon Allais, Marie-Claude Arnaud
We study in detail the dynamics of conformal Hamiltonian flows that are defined on a conformal symplectic manifold (this notion was popularized by Vaisman in 1976). We show that th…
Morse estimates for translated points on unit tangent bundles
Simon Allais
In this article, we study conjectures of Sandon on the minimal number of translated points in the special case of the unit tangent bundle of a Riemannian manifold. We restrict ours…
On the Hofer-Zehnder conjecture on weighted projective spaces
Simon Allais
We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, w…
On the minimal number of translated points in contact lens spaces
Simon Allais
In this article, we prove that every contactomorphism of any standard contact lens space of dimension that is contact-isotopic to identity has at least translated point…
On the Hofer-Zehnder conjecture on via generating functions (with an appendix by Egor Shelukhin)
Simon Allais
We use generating function techniques developed by Givental, Théret and ourselves to deduce a proof in of the homological generalization of Franks theorem du…
Homologically visible closed geodesics on complete surfaces
Simon Allais, Tobias Soethe
In this article, we give multiple situations when having one or two geometrically distinct closed geodesics on a complete Riemannian cylinder or a com…
On the growth rate of geodesic chords
Simon Allais
We show that every forward complete Finsler manifold of infinite fundamental group and not homotopy-equivalent to has infinitely many geometrically distinct geodesics joining…
On periodic points of Hamiltonian diffeomorphisms of via generating functions
Simon Allais
Inspired by the techniques of Givental and Théret, we provide a proof with generating functions of a recent result of Ginzburg-Gürel concerning the periodic points of Hamiltonian d…
A contact camel theorem
Simon Allais
We provide a contact analogue of the symplectic camel theorem that holds in , and indeed generalize the symplectic camel. Our proof is based on the gener…
Improvement and generalisation of Papasoglu's lemma
Simon Allais
We improve an isoperimetric inequality due to Panos Papasoglu. We also generalize this inequality to the Finsler case by proving an optimal Finsler version of the Besicovitch's lem…