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

  1. 1 2 3 4 Curriculum vitae (PDF), April 2012, retrieved 2018-02-10
  2. ↑ Berthé Valérie, Institut de Recherche en Informatique Fondamentale (IRIF), retrieved 2018-02-10
  3. 1 2 "Valérie Berthé, brillante tête chercheuse au CNRS", Ouest-France (in French), February 7, 2014
  4. ↑ Valérie Berthé at the Mathematics Genealogy Project
  5. ↑ 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.
  6. ↑ 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.
  7. ↑ 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.
  8. ↑ 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.
  9. ↑ Bureau, Société mathématique de France, retrieved 2018-02-10
  10. 1 2 "Valérie Berthé", Women and Men Inspiring Europe Resource-Pool, European Institute for Gender Equality, retrieved 2018-02-10
  11. ↑ 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
  12. ↑ 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
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