266 citations
- Laboratoire Amiénois de Mathématique Fondamentale et AppliquéeFR46 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Landau Institute for Theoretical PhysicsRU6 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR4 papers
- Universidade Estadual de Campinas (UNICAMP)BR4 papers
- Laboratoire de physique de la matière condenséeFR3 papers
- Aix-Marseille UniversitéFR2 papers
- Centre de Physique ThéoriqueFR2 papers
- Delhi Integrated Multi-Modal Transit SystemIN2 papers
- Institut national de recherche en sciences et technologies du numériqueFR2 papers
- Jožef Stefan InstituteSI2 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR2 papers
4 papers · 1 filter
Syndeticity and independent substitutions
Fabien Durand, Michel Rigo
We associate in a canonical way a substitution to any abstract numeration system built on a regular language. In relationship with the growth order of the letters, we define the no…
A generalization of Cobham's Theorem
Fabien Durand
If a non-periodic sequence is the image by a morphism of a fixed point of both a primitive substitution and a primitive substitution , then the dominant eigenvalues of t…
A characterization of substitutive sequences using return words
Fabien Durand
We prove that a sequence is primitive substitutive if and only if the set of its derived sequences is finite; we defined these sequences here.
Words and morphisms with Sturmian erasures
Fabien Durand, Adel Guerziz, Michel Koskas
We say $x \in \{0,1,2 \}^{\NN}$ is a word with Sturmian erasures if for any the word obtained erasing all in is a Sturmian word. A large family of such wo…