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Proof of a conjecture of Krawchuk and Rampersad

Authors :
Shallit, Jeffrey
Publication Year :
2023

Abstract

We prove a 2018 conjecture of Krawchuk and Rampersad on the extremal behavior of $c(n)$, where $c(n)$ counts the number of length-$n$ factors of the Thue-Morse word $\mathbf{t}$, up to cyclic rotation.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2301.11473
Document Type :
Working Paper