Bracket words along Hardy field sequences

Jakub Konieczny, Clemens Müllner

Type: Article

Publication Date: 2023-12-14

Citations: 0

DOI: https://doi.org/10.1017/etds.2023.112

Abstract

Abstract We study bracket words, which are a far-reaching generalization of Sturmian words, along Hardy field sequences, which are a far-reaching generalization of Piatetski-Shapiro sequences $\lfloor n^c \rfloor $ . We show that sequences thus obtained are deterministic (that is, they have subexponential subword complexity) and satisfy Sarnak’s conjecture.

Locations

Ergodic Theory and Dynamical Systems - View - PDF
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View

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