Quasi-Sturmian colorings on regular trees

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초록

Quasi-Sturmian words, which are infinite words with factor complexity eventually n + c share many properties with Sturmian words. In this article, we study the quasi-Sturmian colorings on regular trees. There are two different types, bounded and unbounded, of quasi-Sturmian colorings. We obtain an induction algorithm similar to Sturmian colorings. We distinguish them by the recurrence function.

키워드

symbolic dynamicsarithmetic and algebraic dynamicsgroup actionsCOMPLEXITY
제목
Quasi-Sturmian colorings on regular trees
저자
KIM, D. O. N. G. H. A. N.LEE, S. E. U. L. B. E. E.LIM, S. E. O. N. H. E. E.SIM, D. E. O. K. W. O. N.
DOI
10.1017/etds.2019.53
발행일
2020-12
유형
Article
저널명
Ergodic Theory and Dynamical Systems
40
12
페이지
3403 ~ 3419