Hyperbolic tessellation and colorings of trees

Dong Han Kim, Seonhee Lim

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study colorings of a tree induced from isometries of the hyperbolic plane given an ideal tessellation. We show that, for a given tessellation of the hyperbolic plane by ideal polygons, a coloring can be associated with any element of Isom(H 2), and the element is a commensurator of Γ if and only if its associated coloring is periodic, generalizing a result of Hedlund and Morse.

Original languageEnglish
Article number706496
JournalAbstract and Applied Analysis
Volume2013
DOIs
StatePublished - 2013

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