Sturm palindrome substitution criterion
I.A. Reshetnikov, A.Ya. Kanel-Belov
TL;DR
This paper introduces a new criterion for substituting symmetric Sturm words that are infinite on both sides, along with a proof, advancing the understanding of Sturm word structures.
Contribution
It presents a novel substitution criterion for symmetric Sturm words and provides a formal proof, contributing to combinatorics on words.
Findings
Established a criterion for symmetric Sturm word substitution
Provided a formal proof of the criterion
Enhanced understanding of Sturm word structures
Abstract
The article provides a criterion for the substitution of symmetric Sturm words infinite on both sides and its proof. This work was carried out with the help of the Russian Science Foundation Grant N 17-11-01377.
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Taxonomy
TopicsQuasicrystal Structures and Properties