5 citations · 19 across the 10 of their papers we have counts for
4 papers · 1 filter
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…