Cutting sequences, regular polygons, and the Veech group

Diana Davis

doi:10.1007/s10711-012-9724-2

Cutting sequences, regular polygons, and the Veech group

Diana Davis^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	231-261
Number of pages	31
Journal	Geometriae Dedicata
Volume	162
Issue number	1
DOIs	https://doi.org/10.1007/s10711-012-9724-2
State	Published - Jan 24 2013

Keywords

Cutting sequences
Regular polygons
Veech groups

ASJC Scopus subject areas

Geometry and Topology

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