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arXiv · 2601.14350

Cone structures from a dynamical and probabilistic viewpoint

Agustin Moreno
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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.

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Agustin Moreno. 2026-01-20. Cone structures from a dynamical and probabilistic viewpoint. https://arxiv.org/abs/2601.14350

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