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
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)
