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Lamination languages

Published online by Cambridge University Press:  09 November 2012

LUIS-MIGUEL LOPEZ  and
PHILIPPE NARBEL
LUIS-MIGUEL LOPEZ
Affiliation:
Tokyo University of Social Welfare, 2020-1 Sanno-cho, Isesaki, 372-0831 Gunma, Japan (email: lopez@ed.tokyo-fukushi.ac.jp)
PHILIPPE NARBEL
Affiliation:
University of Bordeaux 1, LaBRI - UFR Math-Info, 33405 Talence, France (email: narbel@labri.fr)
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Abstract

Leaves of laminations can be symbolically represented by deforming them into paths of labeled embedded carrier graphs, including train tracks. Here, we describe and characterize the languages of two-way infinite words coming from this kind of coding, called lamination languages, first, by using carrier graph sequences, and second, by using word combinatorics. These characterizations generalize those existing for interval exchange transformations. We also show that lamination languages have ultimately affine factor complexity, and we present effective techniques to build these languages.

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Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 33 , Issue 6 , December 2013 , pp. 1813 - 1863
Copyright
Copyright © 2012 Cambridge University Press 

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