Cutting sequences, regular polygons, and the Veech group

Diana Davis*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

Abstract

We describe the cutting sequences associated to geodesic flow on regular polygons, in terms of a combinatorial process called derivation. This work is an extension of some of the ideas and results in Smillie and Ulcigrai's recent paper, where the analysis was made for the regular octagon. It turns out that the main structural properties of the octagon generalize in a natural way.

Original languageEnglish (US)
Pages (from-to)231-261
Number of pages31
JournalGeometriae Dedicata
Volume162
Issue number1
DOIs
StatePublished - Jan 24 2013

Keywords

  • Cutting sequences
  • Regular polygons
  • Veech groups

ASJC Scopus subject areas

  • Geometry and Topology

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