Publications and communications of Emilie Charlier

Charlier, E. (March 2024). Substitutions and Cantor real numeration systems [Paper presentation]. Young Women in Model Theory and its Applications, Bonn, Germany.

Charlier, E. (March 2024). Substitutions and Cantor real numeration systems [Paper presentation]. Journées nationales du GdR Informatique Mathématique, Grenoble, France.

Charlier, E., Cisternino, C., & Kreczman, S. (2024). On periodic alternate base expansions. Journal of Number Theory, 254, 184-198. doi:10.1016/j.jnt.2023.07.008

Charlier, E. (2023). Alternate Bases: combinatorial, ergodic and algebraic properties [Paper presentation]. Journées annuelles SDA2, Toulouse, France.

Charlier, E. (2023). Alternate Base Numeration Systems. Lecture Notes in Computer Science, 13899, 14-34. doi:10.1007/978-3-031-33180-0_2

Charlier, E., Cisternino, C., & Dajani, K. (2023). Dynamical behavior of alternate base expansions. Ergodic Theory and Dynamical Systems, 43, 827-860. doi:10.1017/etds.2021.161

Charlier, E., Cisternino, C., Masáková, Z., & Pelantová, E. (2023). Spectrum, algebraicity and normalization in alternate bases. Journal of Number Theory, 249, 470-499.

Charlier, E. (15 December 2022). Non-canonical Bertrand numeration systems [Paper presentation]. Séminaire de théorie des nombres de Nancy, Nancy, France.

Charlier, E., Cisternino, C., & Stipulanti, M. (May 2022). A full characterization of Bertrand numeration systems. Lecture Notes in Computer Science, 13257, 102-114.

Charlier, E., Cisternino, C., & Stipulanti, M. (March 2022). Regular sequences and synchronized sequences in abstract numeration systems. European Journal of Combinatorics, 101, 103475. doi:10.1016/j.ejc.2021.103475

Charlier, E. (2022). Spectrum, algebraicity and normalization in alternate bases [Paper presentation]. One World Numeration Seminar.

Charlier, E. (2022). A full characterization of Bertrand numeration systems [Paper presentation]. Séminaire du GT de combinatoire et interactions du LaBRI.

Charlier, E., Massuir, A., Rigo, M., & Rowland, E. (2022). Ultimate periodicity problem for linear numeration systems. International Journal of Algebra and Computation, 32, 561-596. doi:10.1142/S0218196722500254

Charlier, E., & Cisternino, C. (2021). Expansions in Cantor real bases. Monatshefte für Mathematik, 195, 585–610. doi:10.1007/s00605-021-01598-6

Charlier, E., Cisternino, C., & Massuir, A. (2021). Minimal automaton for multiplying and translating the Thue-Morse set. Electronic Journal of Combinatorics, 28 (P3.12), 36. doi:10.37236/9068

Charlier, E., Cisternino, C., & Stipulanti, M. (2021). Robustness of Pisot-regular sequences. Advances in Applied Mathematics, 125, 102151. doi:10.1016/j.aam.2020.102151

Charlier, E. (23 November 2020). Regular sequences in abstract numeration systems [Paper presentation]. One World Seminar on Combinatorics on Words.

Charlier, E., Puzynina, S., & Vandomme, E. (2020). Recurrence along directions in multidimensional words. Discrete Mathematics, 343, 23. doi:10.1016/j.disc.2020.112006

Charlier, E., Cisternino, C., & Massuir, A. (18 September 2019). State Complexity of the Multiples of the Thue-Morse Set. Electronic Proceedings in Theoretical Computer Science, 305, 34-49. doi:10.4204/EPTCS.305.3

Charlier, E., Philibert, M., & Stipulanti, M. (2019). Nyldon words. Journal of Combinatorial Theory. Series A, 167, 60-90. doi:10.1016/j.jcta.2019.04.002

Charlier, E. (February 2018). Nyldon words [Paper presentation]. Workshop on Words and Complexity, Lyon, France.

Charlier, E. (2018). Nyldon words. In Actes des 17èmes Journées Montoises d'Informatique Théorique.

Charlier, E., Ernst, M., Esser, C., Haine, Y., Lacroix, A., Leroy, J., Raskin, J., & Swan, Y. (Eds.). (2018). MATh.en.JEANS. MATh.en.JEANS.be.

Charlier, E., & Steiner, W. (2018). Permutations and negative beta-shifts. International Journal of Foundations of Computer Science, 29 (5), 721-740. doi:10.1142/S0129054118420029

Charlier, E. (September 2017). Permutation groups and the Morse-Hedlund Theorem [Paper presentation]. Workshop "Ergodic Theory & Symbolic Dynamics".

Charlier, E. (2017). Analogues of Cobham's theorem in three different areas of mathematics [Paper presentation]. Séminaire cristolien d'analyse multifractale, Créteil, France.

Charlier, E., Puzynina, S., & Zamboni, L. (2017). On a group theoretic generalization of the Morse-Hedlund theorem. Proceedings of the American Mathematical Society, 145 (8), 3381–3394. doi:10.1090/proc/13589

Charlier, E. (November 2016). Logic, Decidability and Numeration Systems [Paper presentation]. Combinatorics, Automata and Number Theory (CANT).

Charlier, E., Leroy, J., & Rigo, M. (01 July 2016). Asymptotic properties of free monoid morphisms. Linear Algebra and its Applications, 500, 119-148. doi:10.1016/j.laa.2016.02.030

Charlier, E., & Steiner, W. (2016). Permutations and negative beta-shifts. In Actes de Numeration 2016.

Charlier, E. (2016). Permutations and shifts. Lecture Notes in Computer Science, 9840.

Charlier, E., Harju, T., Puzynina, S., & Zamboni, L. (2016). Abelian bordered factors and periodicity. European Journal of Combinatorics, 51, 407-418. doi:10.1016/j.ejc.2015.07.003

Charlier, E., Leroy, J., & Rigo, M. (2015). An analogue of Cobham's theorem for graph directed iterated function systems. Advances in Mathematics, 280, 86-120. doi:10.1016/j.aim.2015.04.008

Charlier, E., Kamae, T., Puzynina, S., & Zamboni, L. (November 2014). Infinite self-shuffling words. Journal of Combinatorial Theory. Series A, 128, 1-40. doi:10.1016/j.jcta.2014.07.008

Charlier, E., Harju, T., Puzynina, S., & Zamboni, L. (2014). Abelian bordered factors and periodicity. In Actes des Journées Montoises d'Informatique Théorique.

Charlier, E., & Honkala, J. (2014). The freeness problem for products of matrices defined on bounded languages. In Actes des Journées Montoises d'Informatique Théorique.

Charlier, E. (January 2014). Abelian borders and periodicity [Paper presentation]. Discrete Mathematics Day.

Charlier, E., & Honkala, J. (2014). The freeness problem over matrix semigroups and bounded languages. Information and Computation, 237, 243-256. doi:10.1016/j.ic.2014.03.001

Charlier, E. (April 2013). Self-shuffling words [Paper presentation]. Workshop on challenges on combinatorics on words, Toronto, Canada.

Charlier, E. (July 2012). A decision problem for ultimate periodicity in non-standard numeration systems [Paper presentation]. Journées de l'ANR SubTile, Decidability problems for substitutive sequences, tilings and numerations, Amiens, France.

Charlier, E. (June 2012). Syntactical complexity of periodic sets [Paper presentation]. First Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies, Liege, Belgium.

Charlier, E. (June 2012). Monoïde syntaxique et numérations [Paper presentation]. Journées Machines à états finis et Combinatoire, 5èmes Journées du groupe de travail SDA2, Rouen, France.

Charlier, E. (May 2012). An introduction to abstract numeration systems [Paper presentation]. Séminaire de vérification de l'ULB, Bruxelles, Belgium.

Charlier, E. (May 2012). Abstract numeration systems [Paper presentation]. Combinatorics on words colloquium of the University of Turku, Turku, Finland.

Charlier, E. (August 2011). Orbits of language operations: finiteness and upper bounds [Paper presentation]. Theory Seminar of the University of Toronto, Toronto, Canada.

Charlier, E. (July 2011). Enumeration and decidable properties of automatic sequences [Paper presentation]. International Conference on Applied MAthematics, Modeling, and Computanional Science (Laurier Centennial Conference), Waterloo, Canada.

Charlier, E., Rampersad, N., & Shallit, J. (2011). Enumeration and decidable properties of automatic sequences. In Actes de Numération 2011.

Charlier, E. (May 2011). Finite orbits of language operations [Paper presentation]. Algorithms and Complexity Seminar of the University of Waterloo, Waterloo, Canada.

Charlier, E. (April 2011). Abstract numeration systems or decimation of languages [Paper presentation]. Languages and Automata Theory Seminar of the University of Waterloo, Waterloo, Canada.

Charlier, E., Rampersad, N., Rigo, M., & Waxweiler, L. (2011). The minimal automaton recognizing mN in a linear numeration system. Integers, 11B (A4), 1-24.

Charlier, E. (December 2010). S-automatic sets [Paper presentation]. Séminaire de combinatoire et d'informatique mathématique du LaCIM (UQÀM), Montréal, Canada.

Charlier, E., Rampersad, N., Rigo, M., & Waxweiler, L. (2010). Structure of the minimal automaton of a numeration language. In Actes de LaCIM 2010.

Charlier, E., Rampersad, N., Rigo, M., & Waxweiler, L. (2010). State complexity of testing divisibility. In P. G. McQuillan, Ian (Ed.), Proceedings Twelfth Annual Workshop on Descriptional Complexity of Formal Systems (pp. 48-57). doi:10.4204/EPTCS.31

Charlier, E. (June 2010). Representing real numbers in a generalized numeration system [Paper presentation]. Numeration 2010, Leiden, Netherlands.

Charlier, E., Rampersad, N., Rigo, M., & Waxweiler, L. (2010). Structure of the minimal automaton of a numeration language and applications to state complexity. In Actes des Journées Montoises d'Informatique Théorique.

Charlier, E. (2009). Abstract Numeration Systems : Recognizability, Decidability, Multidimensional S-Automatic Words, and Real Numbers [Doctoral thesis, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/8631

Charlier, E., Kärki, T., & Rigo, M. (2009). Multidimensional generalized automatic sequences and shape-symmetric morphic words. In Proceedings of AutoMathA.

Charlier, E., Kärki, T., & Rigo, M. (2009). A characterization of multidimensional S-automatic sequences. In Actes des rencontres du CIRM, 1 (pp. 23-28). doi:10.5802/acirm.5

Charlier, E. (December 2008). A decision problem for ultimately periodic sets in non-standard numeration systems [Paper presentation]. Séminaire du groupe de recherche "Large graphs and Networks" de l'UCL, Louvain-la-Neuve, Belgium.

Charlier, E. (May 2008). A decision problem for ultimately periodic sets in non-standard numeration systems [Paper presentation]. Journées de Numération, Prague, Czechia.

Charlier, E., & Rigo, M. (2008). A decision problem for ultimately periodic sets in non-standard numeration systems. In Actes des Journées Montoises d'Informatique Théorique.

Charlier, E., Rigo, M., & Steiner, W. (2008). Abstract numeration systems on bounded languages and multiplication by a constant. Integers, 8 (1-A35), 1-19.

Charlier, E. (May 2007). Abstract numeration systems [Paper presentation]. Spring School and Workshop on Combinatorics on Words, Herbertov, Czechia.

Charlier, E. (April 2007). Structural properties of bounded languages with respect to multiplication by a constant [Paper presentation]. Journées de Numération, Graz, Austria.

Charlier, E. (January 2007). Abstract numeration systems and recognizability [Paper presentation]. Rencontres Arithmétique de l'Informatique Mathématique, Montpellier, France.

Charlier, E. (October 2006). Strutural properties of bounded languages with respect to multiplication by a constant [Paper presentation]. Interregional Colloquium of Mathematics, Trèves, Germany.

Charlier, E. (2006). Conservation du caractère reconnaissable par opérations arithmétiques dans un système de numération abstrait [Specialised master, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/8808

Charlier, E., & Rigo, M. (2006). Structural properties of bounded languages with respect to multiplication by a constant. In Actes des Journées Montoises d'Informatique Théorique.

Charlier, E. (12 September 2005). Multiplication by a Constant and Recognizability in an Abstract Numeration System [Poster presentation]. Belgian Mathematical Society PhD-Day, Bruxelles, Belgium.

Charlier, E. (2004). Frames d'exponentielles [Master’s dissertation, ULiège - Université de Liège]. ORBi-University of Liège. https://orbi.uliege.be/handle/2268/124649