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

DOI10.1215/00192082-9366075zbMath1489.37042arXiv2102.04952OpenAlexW3185043058MaRDI QIDQ2073236

Luca Marchese

Publication date: 1 February 2022

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.04952

zbMATH Keywords

origamihitting time

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Flows on surfaces (37E35) Dynamical systems with singularities (billiards, etc.) (37C83)

Cites Work

• Unnamed Item
• The action of the affine diffeomorphisms on the relative homology group of certain exceptionally symmetric origamis
• Square-tiled cyclic covers
• Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
• Long hitting time for translation flows and L-shaped billiards
• Introduction to Teichmüller theory and its applications to dynamics of interval exchange transformations, flows on surfaces and billiards
• The recurrence time for interval exchange maps
• The waiting time for irrational rotations
• An extraordinary origami curve

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