An S-adic characterization of minimal subshifts with first difference of complexity 1 ≤ p(n+1) - p(n) ≤ 2
Julien Leroy
Abstract
In [Ergodic Theory Dynam. System, 16 (1996) 663 13;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 characterization 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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