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 …

We survey known results and open problems in abelian combinatorics on words. Abelian
combinatorics on words is the extension to the commutative setting of the classical theory of …

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 …

Our goal is to present a unified and reasonably complete account of the various conjectures,
known as Pisot conjectures, that assert that certain dynamical systems arising from …

Given a set SS of words, one associates to each word ww in SS an undirected graph, called
its extension graph, and which describes the possible extensions of ww in SS on the left and …

Formal Languages, Automaton and Numeration Systems presents readers with a review of
research related to formal language theory, combinatorics on words or numeration systems …

Firstly studied by Kempa and Prezza in 2018 as the cement of text compression algorithms,
string attractors have become a compelling object of theoretical research within the …

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 …

Two words are k-binomially equivalent whenever they share the same subwords, ie,
subsequences, of length at most k with the same multiplicities. This is a refinement of both …

The interplay between words, computability, algebra and arithmetic has now proved its
relevance and fruitfulness. Indeed, the cross-fertilization between formal logic and finite …