Weak abelian periodicity of infinite words
Combinatorics
2013-02-19 v1 Discrete Mathematics
Abstract
We say that an infinite word w is weak abelian periodic if it can be factorized into finite words with the same frequencies of letters. In the paper we study properties of weak abelian periodicity, its relations with balance and frequency. We establish necessary and sufficient conditions for weak abelian periodicity of fixed points of uniform binary morphisms. Also, we discuss weak abelian periodicity in minimal subshifts.
Keywords
Cite
@article{arxiv.1302.4359,
title = {Weak abelian periodicity of infinite words},
author = {Sergey Avgustinovich and Svetlana Puzynina},
journal= {arXiv preprint arXiv:1302.4359},
year = {2013}
}
Comments
This is a preliminary version an extended abstract accepted for CSR 2013