Utilisateur·rice

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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