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A Generalization of Repetition Threshold
- Publication Year :
- 2003
- Publisher :
- arXiv, 2003.
-
Abstract
- Brandenburg and (implicitly) Dejean introduced the concept of repetition threshold: the smallest real number alpha such that there exists an infinite word over a k-letter alphabet that avoids beta-powers for all beta>alpha. We generalize this concept to include the lengths of the avoided words. We give some conjectures supported by numerical evidence and prove one of these conjectures.
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....ff302c611d3bf8b4a703eee51b47d560
- Full Text :
- https://doi.org/10.48550/arxiv.math/0310144