Record link: 
http://hdl.handle.net/20.500.12708/190753
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Title: 
Bracket words along Hardy field sequences
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Citation: 
Konieczny, J., & Müllner, C. (2023). Bracket words along Hardy field sequences. Ergodic Theory and Dynamical Systems, 1–28. https://doi.org/10.1017/etds.2023.112
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Publisher DOI: 
10.1017/etds.2023.112
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Konieczny, Jakub 
Müllner, Clemens 
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Organisational Unit: 
E104-05 - Forschungsbereich Kombinatorik und Algorithmen 
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Journal: 
Ergodic Theory and Dynamical Systems 
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ISSN: 
0143-3857
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Date (published): 
14-Dec-2023
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Number of Pages: 
28
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Publisher: 
CAMBRIDGE UNIV PRESS
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Peer reviewed: 
Yes
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Keywords: 
generalized polynomial; Sturmian word; subword complexity; nilsequence; Möbius orthogonality
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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. We show that sequences thus obtained are deterministic (that is, they have subexponential subword complexity) and satisfy Sarnak’s conjecture.
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Project title: 
Arithmetische Zufälligkeit: I 4945-N (FWF - Österr. Wissenschaftsfonds) 
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Research Areas: 
Fundamental Mathematics Research: 100%
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Science Branch: 
1010 - Mathematik: 100%
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