French mathematician
Valérie Berthé
Valérie Berthé (born 16 December 1968)[ 1] is a French mathematician who works as a director of research for the Centre national de la recherche scientifique (CNRS) at the Institut de Recherche en Informatique Fondamentale (IRIF), a joint project between CNRS and Paris Diderot University . Her research involves symbolic dynamics , combinatorics on words , discrete geometry , numeral systems , tessellations , and fractals .[ 2]
Education
Berthé completed her baccalauréat at age 16,[ 3] and studied at the École Normale Supérieure from 1988 to 1993. She earned a licentiate and master's degree in pure mathematics from Pierre and Marie Curie University in 1989, a Diplôme d'études approfondies from University of Paris-Sud in 1991, completed her agrégation in 1992, and was recruited by CNRS in 1993.[ 1] Continuing her graduate studies, she defended a doctoral thesis in 1994 at the University of Bordeaux 1 . Her dissertation, Fonctions de Carlitz et automates: Entropies conditionnelles was supervised by Jean-Paul Allouche.[ 1] [ 4] She completed a habilitation in 1999, again under the supervision of Allouche, at the University of the Mediterranean Aix-Marseille II ; her habilitation thesis was Étude arithmétique et dynamique de suites algorithmiques .[ 1]
Research
Berthé's research spans the area of symbolic dynamics, combinatorics on words, numeration systems and discrete geometry. She has recently made significant process in the study of S-adic dynamical systems, and also of continued fractions in higher dimensions.[ 5] [ 6] [ 7] [ 8]
Associations
Berthé is a vice-president of the Société mathématique de France (SMF), and director of publications for the SMF.[ 9]
She has played an active role in L'association femmes et mathématiques .[ 10]
Berthé has also been associated with the M. Lothaire pseudonymous mathematical collaboration on combinatorics on words [ 11]
and the Pythias Fogg pseudonymous collaboration on substitution systems .[ 12]
Recognition
In 2013, Berthé was elevated to the Legion of Honour .[ 3] [ 10]
References
^ a b c d Curriculum vitae (PDF) , April 2012, retrieved 2018-02-10
^ Berthé Valérie , Institut de Recherche en Informatique Fondamentale (IRIF), retrieved 2018-02-10
^ a b "Valérie Berthé, brillante tête chercheuse au CNRS" , Ouest-France (in French), February 7, 2014
^ Valérie Berthé at the Mathematics Genealogy Project
^ Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M. (2019). "Geometry, dynamics, and arithmetic of $S$-adic shifts" . Annales de l'Institut Fourier . 69 (3): 1347– 1409. arXiv :1410.0331 . doi :10.5802/aif.3273 .
^ Berthé, Valérie; Steiner, Wolfgang; Thuswaldner, Jörg M.; Yassawi, Reem (November 2019). "Recognizability for sequences of morphisms" . Ergodic Theory and Dynamical Systems . 39 (11): 2896– 2931. arXiv :1705.00167 . doi :10.1017/etds.2017.144 . ISSN 0143-3857 . S2CID 31678325 .
^ Berthé, Valérie; Kim, Dong Han (2018). "Some constructions for the higher-dimensional three-distance theorem". Acta Arithmetica . 184 (4): 385– 411. arXiv :1806.02721 . doi :10.4064/aa171021-30-5 . ISSN 0065-1036 . S2CID 51808154 .
^ Berthé, Valérie; Lhote, Loïck; Vallée, Brigitte (March 2018). "The Brun gcd algorithm in high dimensions is almost always subtractive" . Journal of Symbolic Computation . 85 : 72– 107. doi :10.1016/j.jsc.2017.07.004 .
^ Bureau , Société mathématique de France , retrieved 2018-02-10
^ a b "Valérie Berthé" , Women and Men Inspiring Europe Resource-Pool , European Institute for Gender Equality, retrieved 2018-02-10
^ Lothaire, M. (2005), Applied combinatorics on words , Encyclopedia of Mathematics and Its Applications, vol. 105, A collective work by Jean Berstel , Dominique Perrin, Maxime Crochemore , Eric Laporte, Mehryar Mohri , Nadia Pisanti, Marie-France Sagot, Gesine Reinert , Sophie Schbath , Michael Waterman , Philippe Jacquet, Wojciech Szpankowski , Dominique Poulalhon, Gilles Schaeffer, Roman Kolpakov, Gregory Koucherov, Jean-Paul Allouche and Valérie Berthé, Cambridge: Cambridge University Press , ISBN 0-521-84802-4 , Zbl 1133.68067
^ Pytheas Fogg, N. (2002), Berthé, Valérie ; Ferenczi, Sébastien; Mauduit, Christian; Siegel, A. (eds.), Substitutions in dynamics, arithmetics and combinatorics , Lecture Notes in Mathematics, vol. 1794, Berlin: Springer-Verlag , ISBN 3-540-44141-7 , Zbl 1014.11015
External links
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