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arXiv · 2102.04952

A genus 4 origami with minimal hitting time and an intersection property

Luca Marchese
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Abstract

In a minimal flow, the hitting time is the exponent of the power law, as r goes to zero, for the time needed by orbits to become r-dense. We show that on the so-called Ornithorynque origami the hitting time of the flow in an irrational slope equals the diophantine type of the slope. We give a general criterion for such equality. In general, for genus at least two, hitting time is strictly bigger than diophantine type.

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Luca Marchese. 2021-02-09. A genus 4 origami with minimal hitting time and an intersection property. https://arxiv.org/abs/2102.04952

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