This paper surveys different constructions and properties of some multiple tilings (that is,
finite-to-one coverings) of the space that can be associated with beta-numeration and …

This collaborative volume presents recent trends arising from the fruitful interaction between
the themes of combinatorics on words, automata and formal language theory, and number …

Le but de ce survol est d'aborder définitions et propriétés concernant la numération d'un
point de vue dynamique: nous nous concentrons sur les systèmes de numération, leur …

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 …

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

Substitutions are combinatorial objects (one replaces a letter by a word) which produce
sequences by iteration. They occur in many mathematical fields, roughly as soon as a …

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

This paper studies geometric and spectral properties of S-adic shifts and their relation to
continued fraction algorithms. These shifts are symbolic dynamical systems obtained by …

Multidimensional continued fractions and symbolic codings of toral translations Page 1 ©
2022 European Mathematical Society Published by EMS Press and licensed under a CC BY …

We propose a scheme to determine the energy-band dispersion of quasicrystals that does
not require any periodic approximation and directly provides the correct structure of the …