An $S$-adic characterization of minimal subshifts with first difference of complexity $1 \leq p(n+1) - p(n) \leq 2$
نویسنده
چکیده
In [Ergodic Theory Dynam. System, 16 (1996) 663–682], S. Ferenczi proved that any minimal subshift with first difference of complexity bounded by 2 is S-adic with Card(S) ≤ 327. In this paper, we improve this result by giving an S-adic charaterization of these subshifts with a set S of 5 morphisms, solving by this way the S-adic conjecture for this particular case.
منابع مشابه
An S-adic characterization of minimal subshifts with first difference of complexity 1 ≤ p(n+1) - p(n) ≤ 2
In [Ergodic Theory Dynam. System, 16 (1996) 663–682], S. Ferenczi proved that any minimal subshift with first difference of complexity bounded by 2 is S-adic with Card(S) ≤ 327. In this paper, we improve this result by giving an S-adic charaterization of these subshifts with a set S of 5 morphisms, solving by this way the S-adic conjecture for this particular case.
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