Hyperbolic Tessellation and Colorings of Trees-Reference-Cited by-同舟云学术

Hyperbolic Tessellation and Colorings of Trees

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kim Dong Han¹^ORCID,Lim Seonhee²^ORCID

Affiliation:

1. Department of Mathematics Education, Dongguk University-Seoul, Seoul 100-715, Republic of Korea

2. Department of Mathematical Sciences, Seoul National University, Seoul 151-747, Republic of Korea

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(ℍ2), and the element is a commensurator ofΓif and only if its associated coloring is periodic, generalizing a result of Hedlund and Morse.

Funder

National Research Foundation

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/706496.pdf

Reference9 articles.

1. Symbolic Dynamics II. Sturmian Trajectories

2. Ergebnisse der Mathematik und ihrer Grenzgebiete,1991

3. Density of commensurators for uniform lattices of right-angled buildings

4. On commensurator growth

5. Pure and Applied Mathematics,1994

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