An S-adic expansion of an infinite word is a way of writing it as the limit of an infinite product
of substitutions (ie, morphisms of a free monoid). Such a description is related to continued …

Recognizability for sequences of morphisms Page 1 Ergod. Th. & Dynam. Sys. (2019), 39,
2896–2931 doi:10.1017/etds.2017.144 c Cambridge University Press, 2018 Recognizability for …

Symbolic dynamics is essential in the study of dynamical systems of various types and is
connected to many other fields such as stochastic processes, ergodic theory, representation …

Minimal Cantor systems of finite topological rank (that can be represented by a Bratteli-
Vershik diagram with a uniformly bounded number of vertices per level) are known to have …

Dimension groups are complete invariants of strong orbit equivalence for minimal Cantor
systems. This paper studies a natural family of minimal Cantor systems having a finitely …

We investigate generic properties (ie properties corresponding to residual sets) in the space
of subshifts with the Hausdorff metric. Our results deal with four spaces: the space S of all …

We provide an explicit-adic representation of rank-one subshifts with bounded spacers and
call the subshifts obtained in this way 'minimal Ferenczi subshifts'. We aim to show that this …

An S-adic characterization of minimal subshifts with first difference of complexity 1 ≤ p(n + 1)
− p(n) ≤ 2 Page 1 Discrete Mathematics and Theoretical Computer Science DMTCS vol. 16:1 …

In the light of recent developments of the ${\mathcal S} $-adic study of subshifts, we revisit,
within this framework, a well-known result on Toeplitz subshifts due to Jacobs--Keane giving …

We provide a survey of results from symbolic dynamics and algebraic topology relating to
Grout, a new user-friendly program developed to calculate combinatorial properties and …