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

Cristian Cobeli, Alexandru Zaharescu

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Article number113257
JournalChaos, solitons and fractals
StatePublished - Apr 2023


  • Complexity of words
  • Dirichlet series
  • Sturmian words

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistical and Nonlinear Physics
  • General Physics and Astronomy
  • Mathematical Physics


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