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Completing a combinatorial proof of the rigidity of Sturmian words generated by morphisms

Gwenaël Richomme 1, 2 Patrice Séébold 1, 2
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
2 UPVM - Université Paul-Valéry - Montpellier 3
Abstract : Séébold (1998) announced that Sturmian words generated by morphisms are all rigid. There was a gap in the proof. This gap is corrected here to complete a combinatorial proof of this result.
Keywords : morphisms Sturmian words
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00797672
Contributor : Gwenaël Richomme <>
Submitted on : Thursday, March 7, 2013 - 9:05:11 AM
Last modification on : Thursday, May 13, 2021 - 12:10:01 PM

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Gwenaël Richomme, Patrice Séébold. Completing a combinatorial proof of the rigidity of Sturmian words generated by morphisms. Theoretical Computer Science, Elsevier, 2012, 428, pp.92-97. ⟨10.1016/j.tcs.2011.12.008⟩. ⟨lirmm-00797672⟩

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