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September 2021 A genus 4 origami with minimal hitting time and an intersection property
Luca Marchese
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Illinois J. Math. 65(3): 579-596 (September 2021). DOI: 10.1215/00192082-9366075

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. "A genus 4 origami with minimal hitting time and an intersection property." Illinois J. Math. 65 (3) 579 - 596, September 2021. https://doi.org/10.1215/00192082-9366075

Information

Received: 10 February 2021; Revised: 14 May 2021; Published: September 2021
First available in Project Euclid: 23 July 2021

Digital Object Identifier: 10.1215/00192082-9366075

Subjects:
Primary: 37D40
Secondary: 37E35

Rights: Copyright © 2021 by the University of Illinois at Urbana–Champaign

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Vol.65 • No. 3 • September 2021
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