Localisation

Adresses

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Julien • Cassaigne
Chargé de Recherche (CR) • Affiliation : Centre National Recherche Scientifique (CNRS)
Site : Luminy • Bureau : 209 • Etage du bureau : 2 •

Co-responsable du groupe GDAC (depuis 2015) / Prix d’Alembert 2014

Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
  • Cryptographie
  • Informatique théorique, calculabilité
  • Mathématiques discrètes
  • Systèmes dynamiques mesurés
  • Systèmes dynamiques géométriques
  • Systèmes dynamiques symboliques
  • Théorie analytique des nombres

 

Publications HAL

2022/11 – Word of low complexity without uniform frequencies

2022/01 Annali della Scuola Normale Superiore di Pisa – ARNOUX-RAUZY INTERVAL EXCHANGES

2022/01 RAIRO – Theoretical Informatics and Applications (RAIRO: ITA) – On the Complexity of the Generalized Fibonacci Words

2021/02 – Almost everywhere balanced sequences of complexity $2n+1$

2021/02 Quaestiones Mathematicae – On the symmetric intersection of Rauzy fractals associated with the k-bonacci substitution

2020/12 – Symbolic coding of linear complexity for generic translations of the torus, using continued fractions

2020/01 Transactions of the American Mathematical Society – On the computational complexity of algebraic numbers : the Hartmanis-Stearns problem revisited

2020/01 Annali della Scuola Normale Superiore di Pisa – ARNOUX-RAUZY INTERVAL EXCHANGE TRANSFORMATIONS

2019/12 Bulletin de la société mathématique de France – Cost and dimension of words of zero topological entropy

2019/11 Theoretical Computer Science – On abelian saturated infinite words

2019/07 Proceedings of the American Mathematical Society – A characterization of words of linear complexity

2018/06 Information and Computation – On k-abelian palindromes

2017/11 – A Taxonomy of Morphic Sequences

2017/10 European Journal of Combinatorics – On growth and fluctuation of k-abelian complexity

2017/09 – A Set of Sequences of Complexity $2n+1$

2017/08 Fundamenta Informaticae – k-Abelian Equivalence and Rationality

2017/01 Journal of Combinatorial Theory, Series A – Cyclic complexity of words

2017/01 Journal of Computer and System Sciences – A Small Minimal Aperiodic Reversible Turing Machine

2016/08 International Journal of Foundations of Computer Science – Abelian Complexity and Frequencies of Letters in Infinite Words

2016/07 – k-Abelian Equivalence and Rationality

2016/07 – Cost and dimension of words of zero topological entropy

2016/01 SIAM Journal on Discrete Mathematics – Invariant games and non-homogeneous Beatty sequences

2014/08 – Cyclic Complexity of Words

2014/08 – Subword complexity and decomposition of the set of factors

2013/06 International Journal of Algebra and Computation – Balance properties of Arnoux-Rauzy words

2011/01 International Journal of Foundations of Computer Science – Avoiding Abelian Powers in Binary Words with Bounded Abelian Complexity

2011/01 European Journal of Combinatorics – Combinatorial trees arising in the study of interval exchange transformations

2011/01 Journal of the London Mathematical Society – Outer billiard outside regular polygons

2010/01 Journal de Théorie des Nombres de Bordeaux – Propriétés et limites de la reconnaissance d’ensembles d’entiers par automates dénombrables

2007/01 RAIRO – Theoretical Informatics and Applications (RAIRO: ITA) – Substitutions par des Motifs en Dimension 1

2006/01 – Diophantine properties of real numbers generated by finite automata

2001/01 International Journal of Algebra and Computation – The chinese monoid

2000/01 Acta Arithmetica – On finite pseudorandom binary sequences IV: The Liouville function, II

1998/01 Acta Arithmetica – On finite pseudorandom binary sequences III: The Liouville function, I

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