On the critical exponent of generalized Thue-Morse sequences

A. Blondin-Massé; S. Brlek; A. Glen; S. Labbé

doi:10.48550/arXiv.0710.4031

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On the critical exponent of generalized Thue-Morse sequences

Journal article

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On the critical exponent of generalized Thue-Morse sequences

A. Blondin-Massé, S. Brlek, A. Glen and S. Labbé

Discrete Mathematics & Theoretical Computer Science, Vol.9(1), pp.293-304

2007

DOI: https://doi.org/10.48550/arXiv.0710.4031

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Abstract

For certain generalized Thue-Morse words t, we compute the "critical exponent", i.e., the supremum of the set of rational numbers that are exponents of powers in t, and determine exactly the occurrences of powers realizing it.

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Title: On the critical exponent of generalized Thue-Morse sequences
Authors/Creators: A. Blondin-Massé (Author/Creator)
S. Brlek (Author/Creator)
A. Glen (Author/Creator)
S. Labbé (Author/Creator)
Publication Details: Discrete Mathematics & Theoretical Computer Science, Vol.9(1), pp.293-304
Publisher: Discrete Mathematics and Theoretical Computer Science
Identifiers: 991005544681807891
Murdoch Affiliation: Murdoch University
Language: English
Resource Type: Journal article

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