Metadata
bibkey: peltomaki2024episturmian
authors: J. Peltomäki
year: 2024
title: Initial nonrepetitive complexity of regular episturmian words and their Diophantine exponents
doi: 10.1016/j.ejc.2024.103942
url: https://arxiv.org/abs/2103.08351v3
claim: Section 8, Conjecture 8.4 asks whether an aperiodic episturmian word has finite Diophantine exponent exactly when its partial quotients are bounded.
strata_touched:
- D5/S1/Words/Episturmian/DiophantineExponentCriterion
license: citation-only
triage: anchor
Verified locator
DOI: https://doi.org/10.1016/j.ejc.2024.103942
Source: https://arxiv.org/abs/2103.08351v3
Source statement
Section 8, Conjecture 8.4:
Let be an aperiodic episturmian word. Then if and only if has bounded partial quotients.