Valérie Berthé
{{short description|French mathematician}}
Valérie Berthé (born 16 December 1968){{r|cv}} 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.{{r|irif}}
Education
Berthé completed her baccalauréat at age 16,{{r|ouest}} 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.{{r|cv}} 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.{{r|cv|mgp}} 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.{{r|cv}}
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.{{Cite journal|last1=Berthé|first1=Valérie|last2=Steiner|first2=Wolfgang|last3=Thuswaldner|first3=Jörg M.|date=2019|title=Geometry, dynamics, and arithmetic of $S$-adic shifts|journal=Annales de l'Institut Fourier|volume=69|issue=3|pages=1347–1409|doi=10.5802/aif.3273|doi-access=free|arxiv=1410.0331}}{{Cite journal|last1=Berthé|first1=Valérie|last2=Steiner|first2=Wolfgang|last3=Thuswaldner|first3=Jörg M.|last4=Yassawi|first4=Reem|date=November 2019|title=Recognizability for sequences of morphisms|url=https://www.cambridge.org/core/product/identifier/S0143385717001444/type/journal_article|journal=Ergodic Theory and Dynamical Systems|language=en|volume=39|issue=11|pages=2896–2931|doi=10.1017/etds.2017.144|issn=0143-3857|arxiv=1705.00167|s2cid=31678325}}{{Cite journal|last1=Berthé|first1=Valérie|last2=Kim|first2=Dong Han|date=2018|title=Some constructions for the higher-dimensional three-distance theorem|journal=Acta Arithmetica|language=en|volume=184|issue=4|pages=385–411|doi=10.4064/aa171021-30-5|issn=0065-1036|arxiv=1806.02721|s2cid=51808154}}{{Cite journal|last1=Berthé|first1=Valérie|last2=Lhote|first2=Loïck|last3=Vallée|first3=Brigitte|date=March 2018|title=The Brun gcd algorithm in high dimensions is almost always subtractive|journal=Journal of Symbolic Computation|language=en|volume=85|pages=72–107|doi=10.1016/j.jsc.2017.07.004|doi-access=free}}
Associations
Berthé is a vice-president of the Société mathématique de France (SMF), and director of publications for the SMF.{{r|smf}}
She has played an active role in L'association femmes et mathématiques.{{r|eige}}
Berthé has also been associated with the M. Lothaire pseudonymous mathematical collaboration on combinatorics on words{{r|lothaire}}
and the Pythias Fogg pseudonymous collaboration on substitution systems.{{r|fogg}}
Recognition
In 2013, Berthé was elevated to the Legion of Honour.{{r|ouest|eige}}
References
{{reflist|refs=
{{citation | last=Pytheas Fogg | first=N. | editor1-first=Valérie | editor1-last = Berthé |editor1-link = Valérie Berthé| editor2-last = Ferenczi | editor2-first= Sébastien | editor3-last= Mauduit | editor3-first= Christian | editor4-last= Siegel | editor4-first= A. | title=Substitutions in dynamics, arithmetics and combinatorics | series=Lecture Notes in Mathematics | volume=1794 | location=Berlin | publisher=Springer-Verlag | year=2002 | isbn=3-540-44141-7 | zbl=1014.11015 }}
{{citation | last=Lothaire | first=M. | author-link=M. Lothaire | title=Applied combinatorics on words | others=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 | series=Encyclopedia of Mathematics and Its Applications | volume=105 | location=Cambridge | publisher=Cambridge University Press | year=2005 | isbn=0-521-84802-4 | zbl=1133.68067 | url-access=registration | url=https://archive.org/details/appliedcombinato0000loth }}
{{citation|url=https://www.ouest-france.fr/bretagne/lorient-56100/valerie-berthe-brillante-tete-chercheuse-au-cnrs-1917860|title=Valérie Berthé, brillante tête chercheuse au CNRS|newspaper=Ouest-France|date=February 7, 2014|language=fr}}
{{citation|url=http://smf.emath.fr/content/bureau|title=Bureau|publisher=Société mathématique de France|access-date=2018-02-10}}
}}
External links
- {{Google Scholar id|stvGWvUAAAAJ}}
{{Authority control}}
{{DEFAULTSORT:Berthe, Valerie}}
Category:20th-century French mathematicians
Category:French women mathematicians
Category:Knights of the Legion of Honour
Category:21st-century French mathematicians
Category:Research directors of the French National Centre for Scientific Research