Cone structures from a dynamical and probabilistic viewpoint
Dynamical Systems
2026-02-17 v4 Symplectic Geometry
Abstract
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 picture which arises in the study of the circular restricted three body problem (CR3BP). This yields geometric obstructions to reaching a point from another point in the phase space of the CR3BP.
Cite
@article{arxiv.2601.14350,
title = {Cone structures from a dynamical and probabilistic viewpoint},
author = {Agustin Moreno},
journal= {arXiv preprint arXiv:2601.14350},
year = {2026}
}
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