5 papers
Cone structures from a dynamical and probabilistic viewpoint
Agustin Moreno
The goal of this note is to explore, from a geometric and probabilistic point of view, the dynamics of cone structures adapted to open book decompositions. This is inspired by the…
Open problems in billiards and quantitative symplectic geometry
Bernhard Albach, Jean-François Barraud, Misha Bialy +13
This document collects contributions to the Open Problem List in Billiards and Quantitative Symplectic Geometry, compiled following discussions during the workshop ``Billiards and…
A Poincaré--Birkhoff theorem for -Hamiltonian maps
Arthur Limoge, Agustin Moreno
We prove a higher-dimensional version of the well-known Poincaré--Birkhoff theorem, using Floer homology. We also prove a relative version for Lagrangian submanifolds. The motivat…
Bi-normal trajectories in the Circular Restricted Three-Body Problem
Agustin Moreno, Arthur Limoge
In this note, we show there exist infinitely many trajectories which are bi-normal (i.e. normal at initial and final times) to the xz-plane, in the Spatial Circular Restricted Thre…
A Relative Poincaré-Birkhoff theorem
Agustin Moreno, Arthur Limoge
In arXiv:2011.06562, the first author and Otto van Koert proved a generalized version of the classical Poincaré-Birkhoff theorem, for Liouville domains of any dimension. In this a…