Cone structures from a dynamical and probabilistic viewpoint

Fuente: arXiv
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Auteur principal: Moreno, Agustin
Format: Preprint
Publié: 2026
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author Moreno, Agustin
author_facet Moreno, Agustin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_14350
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cone structures from a dynamical and probabilistic viewpoint
Moreno, Agustin
Dynamical Systems
Symplectic Geometry
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.
title Cone structures from a dynamical and probabilistic viewpoint
topic Dynamical Systems
Symplectic Geometry
url https://arxiv.org/abs/2601.14350