Bracket words along Hardy field sequences

التفاصيل البيبلوغرافية
العنوان: Bracket words along Hardy field sequences
المؤلفون: Konieczny, Jakub, Müllner, Clemens
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Number Theory, Mathematics - Combinatorics, Mathematics - Dynamical Systems
الوصف: We study bracket words, which are a far-reaching generalisation of Sturmian words, along Hardy field sequences, which are a far-reaching generalisation of Piatetski--Shapiro sequences $\lfloor n^c \rfloor$. We show that thus obtained sequences are deterministic (i.e., they have sub-exponential subword complexity) and satisfy Sarnak's conjecture.
Comment: 26 pages, comments welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2302.09626
رقم الأكسشن: edsarx.2302.09626
قاعدة البيانات: arXiv