A bias parity slope on the simplest non-periodic binary words

A bias parity slope on the simplest non-periodic binary words

We analyze a natural parity problem on the divisors associated to Sturmian words. We find a clear bias towards the odd divisors and prove a sharp asymptotic estimate for the average of the difference odd-even function tamed by a weight function, which confirms various experimental results.

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Veröffentlicht in:Chaos, solitons and fractals solitons and fractals, 2023-04, Vol.169, p.113257, Article 113257
Hauptverfasser: Cobeli, Cristian, Zaharescu, Alexandru
Format: Artikel
Sprache:eng
Schlagworte:
Complexity of words
Dirichlet series
Sturmian words
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Beschreibung
Zusammenfassung:We analyze a natural parity problem on the divisors associated to Sturmian words. We find a clear bias towards the odd divisors and prove a sharp asymptotic estimate for the average of the difference odd-even function tamed by a weight function, which confirms various experimental results.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2023.113257