A genus 4 origami with minimal hitting time and an intersection property
Dynamical Systems
2021-02-10 v1 Geometric Topology
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.
Cite
@article{arxiv.2102.04952,
title = {A genus 4 origami with minimal hitting time and an intersection property},
author = {Luca Marchese},
journal= {arXiv preprint arXiv:2102.04952},
year = {2021}
}
Comments
13 pages, 2 figures