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An S-adic characterization of minimal subshifts with first difference of complexity 1 ≤ p(n+1) - p(n) ≤ 2
Abstract : An S-adic characterization of minimal subshifts with first difference of complexity 1 ≤ p(n + 1) − p(n) ≤ 2 S. Ferenczi proved that any minimal subshift with first difference of complexity bounded by 2 is S-adic with Card(S) ≤ 3 27. In this paper, we improve this result by giving an S-adic characterization of these subshifts with a set S of 5 morphisms, solving by this way the S-adic conjecture for this particular case.
Cited literature [39 references]
https://hal.inria.fr/hal-01179422
Contributor : Hélène Lowinger <>
Submitted on : Wednesday, July 22, 2015 - 2:36:02 PM
Last modification on : Tuesday, June 2, 2020 - 7:08:03 PM
Long-term archiving on: : Friday, October 23, 2015 - 11:11:46 AM
Contributor : Hélène Lowinger <>
Submitted on : Wednesday, July 22, 2015 - 2:36:02 PM
Last modification on : Tuesday, June 2, 2020 - 7:08:03 PM
Long-term archiving on: : Friday, October 23, 2015 - 11:11:46 AM
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dmtcs-16-1-15.pdf
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