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- W2997558551 abstract "The repetition threshold for words on $n$ letters, denoted $mbox{RT}(n)$, is the infimum of the set of all $r$ such that there are arbitrarily long $r$-free words over $n$ letters. A repetition threshold for circular words on $n$ letters can be defined in three natural ways, which gives rise to the weak, intermediate, and strong circular repetition thresholds for $n$ letters, denoted $mbox{CRT}_{mbox{W}}(n)$, $mbox{CRT}_{mbox{I}}(n)$, and $mbox{CRT}_{mbox{S}}(n)$, respectively. Currie and the present authors conjectured that $mbox{CRT}_{mbox{I}}(n)=mbox{CRT}_{mbox{W}}(n)=mbox{RT}(n)$ for all $ngeq 4$. We prove that $mbox{CRT}_{mbox{W}}(n)=mbox{RT}(n)$ for all $ngeq 45$, which confirms a weak version of this conjecture for all but finitely many values of $n$." @default.
- W2997558551 created "2020-01-10" @default.
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- W2997558551 date "2019-12-23" @default.
- W2997558551 modified "2023-09-27" @default.
- W2997558551 title "The Weak Circular Repetition Threshold Over Large Alphabets." @default.
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