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

Author

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  • Cobeli, Cristian
  • Zaharescu, Alexandru

Abstract

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.

Suggested Citation

  • Cobeli, Cristian & Zaharescu, Alexandru, 2023. "A bias parity slope on the simplest non-periodic binary words," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001583
    DOI: 10.1016/j.chaos.2023.113257
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    References listed on IDEAS

    as
    1. Cobeli, Cristian & Prunescu, Mihai & Zaharescu, Alexandru, 2016. "A growth model based on the arithmetic Z-game," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 136-147.
    2. Zeng, Cheng & Xue, Yumei & Huang, Yuke, 2021. "Fractal networks with Sturmian structure," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
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