Qu'est-ce qu'une âme ? Il est très facile de la définir
négativement :
c'est très exactement ce qui en nous se rétracte quand nous
entendons parler de séries algébriques.
- Robert Musil, L'homme sans qualités
Combinatorics on words, but also enumerative and algebraic
combinatorics, are the topics on which I have been working since my
Ph. D. Maybe the best way to grasp the object of this field is to have
a hint at problems that preceded and favoured its birth. My suggestion
is to go to J.
Berstel's page presenting the work by M. Lothaire.
International Journals
-
Properties of the extremal infinite smooth words , Journal of Automata, Languages and Combinatorics (accepted for publication in 2005) (with G. Paquin and S. Brlek)
- Lyndon Factorization of Sturmian Words, Discrete
Mathematics, 210:137-149, 2000.
-
Lyndon Words and Singular Factors of Sturmian Words, Journal
of Theoretical Computer Science, 218:41-58, 1999.
-
Lyndon factorization of the Thue-Morse word and its relatives, Discrete
Mathematics and Theoretical Computer Science, Vol. 1, Issue 1,
1997, 43-52 (with A. Ido).
-
Factorizing infinite words using Maple, MapleTech
Special Issue: Maple in the Mathematical Sciences, vol. 4, No. 1, Birkhaüser,
Boston, 1997, 1-9.
-
Viennot Factorizations of Infinite Words, Information
Processing Letters, 60, 1996, 53-57.
-
Langages de Dyck généralisés
et factorisations du monoïde libre, Annales des Sciences Mathématiques
du Québec, vol. 21, no. 2, 1997, pp. 103-122, (with H. Jacquet).
-
Free Lie Superalgebras, Trees and Chains of Partitions, Journal
of Algebraic Combinatorics, Vol. 5, Number 4, 1996, pp. 337-352,
(with C. Reutenauer).
-
Quelques remarques sur les super-algèbres de Lie libres, Comptes
Rendus de l'Académie Scientifique de Paris, t. 318, Série
I, 1994, pp. 419-424, (with J. Désarménien, G. Duchamp et
D. Krob).
-
Construction des bases standard des K<A>-modules à droite,
Journal
of Theoretical Computer Science 117, 1993, pp. 255-272.
-
Computing Hall Exponents in the Free Group, International
Journal of Algebra and Computation, Vol. 3, No. 3, 1993, pp. 275-294,
(with C. Reutenauer)
-
Une présentation combinatoire de la super algèbre de Lie
libre, Comptes Rendus de l'Académie Scientifique de Paris,
t. 315, Série I, 1992, 1215-1220, (with C. Reutenauer)
-
Combinatorics of Hall trees and Hall words, Journal
of Combinatorial Theory, series `A', vol. 59, No. 2, 1992, pp.
285-308.
International Conferences
-
Singular
Factors and Lyndon Factorization of the Fibonacci Word, 10th international
Conference on Formal Power Series and Algebraic Combinatorics (FPSAC),
Toronto, Canada, 14-19 june 1998.
-
Lyndon Factorization of Sturmian Words, 8th
international Conference on Formal Power Series and Algebraic Combinatorics
(FPSAC), Minneapolis, USA, 25-29 june 1996.
-
Lyndon Factorization of Infinite Words, 13th
Symposium on Theoretical Aspects of Computer Science (STACS), Grenoble,
France, 22-24 february 1996.
-
Free Lie superalgebras and some representations of the symmetric group,
Jerusalem
Combinatorics, Université de Jérusalem, Israel, may 1993.
Invited Conferences
-
Bases of free Lie algebras -- ``are Lyndon words better ?'', 3rd
SIAM Conference on Control and its Applications, Symposium on Combinatorial
Methods in Control Theory, Adam's Mark Hotel, Saint-Louis, Missouri, April
1995.
-
Combinatoire des bases des algèbres de
Lie libres, Journées thématiques Médicis ``Calculs
de Lie'', CIRM, Marseille, November 1994.
Chapter or part of a book
-
Short articles for Encyclopedia of Mathematics, vol. 11 et ss.,
R. Hoksbergen ed., Kluwer Academic Publishers, 1996
Other papers
-
A Rewriting System for Computing Intersections
of Right Ideals in K<A>., LaBRI, U.R.A. CNRS # 1304, Université
Bordeaux I, Technical report #, 1996 (with C. Reutenauer).
-
Combinatorics of bases of free Lie algebras,
LaBRI, U.R.A. CNRS # 1304, Université Bordeaux I, Technical report
#, 1996.