Some of my research papers available as postscript or PDF files
- The biHecke monoid of a finite
Coxeter group and its representations
(with N. Thiéry and Anne Schilling), to appear in Algebra and Number
Theory, 64 pp.
- A multivariate “inv” hook formula for forests
(with V. Reiner),
The Ramanujan Journal (2012) doi:10.1007/s11139-012-9390-x.
- Combinatorics of k-shape and Genocchi numbers
(with O. Mallet),
"Formal Power series and algebraic combinatorics 2011",
(FPSAC 2011), Reykjavik, June 13–17 2011.
- Noncommutative
symmetric functions VII: free quasi-symmetric functions revisited
(with G. Duchamp, J.-C. Novelli, and J.-Y. Thibon),
Annals of Combinatorics 15 (2011), 655-673.
- The representation theory on J-trivial monoids
(with T. Denton, N. Thiéry, and Anne Schilling),
Séminaire Lotharingien de Combinatoire, B64d (2011), 44 pp.
- The 1-E transform in combinatorial Hopf Algebras,
(with J.-C. Novelli, J.-G. Luque, and J.-Y. Thibon),
Journal of Algebraic Combinatorics
33 (2011), No. 2, 277-312.
- The biHecke monoid of a finite Coxeter group ,
(with N. Thiéry and A. Schilling),
"Formal Power series and algebraic combinatorics 2010",
August 2-6, 2010, San Francisco State University, California, USA.
- Formal Proof of SCHUR Conjugate Function
(with F. Butelle, M. Mayero, and F. Toumazet),
17th Symposium on the Integration of Symbolic
Computation and Mechanised Reasoning, Calculemus 2010 Paris, France 6th-7th
July 2010, Lecture Notes in Computer Science, Vol. 6167, 158-170.
- Inversion of some series of free quasi-symmetric function
(with J.-C. Novelli and J.-Y. Thibon),
Europ. J. Combin. 31 (2010), no. 1 29-33.
- Permutation statistics related to a class of
noncommutative symmetric functions
and generalizations of the Genocchi numbers,
(with J.-C. Novelli, J.-Y. Thibon, and L.Tevlin),
Selecta Math., 15 (2009), no. 1, 864-874.
- Hecke group algebras as quotients of
affine Hecke algebras at level 0
(with N. M. Thiéry and Anne Schilling),
Journal of Combinatorial Theory, Series A, 116
(2009), no. 4, 844-863.
- The Hecke group algebra of a Coxeter
group and its representation theory
(with N. M. Thiéry),
journal of algebra, 321 (2009), no. 8, 2230-2258.
- An operational calculus for the Mould operad,
(with F. Chapoton, J.-C. Novelli, and J.-Y. Thibon),
Int. Math. Res. Notices. IMRN 2008, no. 9, Art. ID rnn018, 22 pp.
- Sur une conjecture de Dehornoy
(with J.-C. Novelli and J.-Y. Thibon),
C. R. Acad. Sci. Paris 346 (2008), no. 7-8, 375-378.
- Trees, functional equations, and combinatorial Hopf
algebras
(with J.-C. Novelli and J.-Y. Thibon),
Europ. J. Combin.,
29 (2008), no. 7, 1682-1695.
- Hecke group algebras as degenerate affine Hecke algebras
with N. M. Thiéry and A. Schilling,
"Formal Power series and algebraic combinatorics", 2008, Valparaiso, Chile.
- Random patterns generated by random
permutations of natural numbers, (with G. Oshanin,
R. Voituriez, S. Nechaev, O. Vasilyev),
The European Physical Journal - Special Topics,
143 (2007) 143-157 arXiv.org:cond-mat/0609718.
- Commutative combinatorial Hopf
algebras, (with J.-C. Novelli and J.-Y. Thibon),
J. Alg. Combin. 28 (2008), no. 1, 65-95,
arXiv.org:math/0605262.
- Multivariate generalizations of the
Foata-Schutzenberger equidistribution, (with J.-C. Novelli and
J.-Y. Thibon), Disc.Math.Theo.Comp.Sci. Proc,
AG, (2006), 289-300. Fourth Colloquium on
Mathematics and Computer Science: Algorithms, Trees, Combinatorics
and Probabilities, September 18-22, 2006, Nancy France.
- Dual Graded Graphs in Combinatorial
Hopf Algebras,
(with J. Nzeutchap), preprint.
- Representation theories of some
towers of algebras related to the symmetric groups and their Hecke
algebras (with N. Thiéry) proceedings of the 18th congres
"Formal Power series and algebraic combinatorics", 2006, June
19-23, San Diego, California.
- An Introduction to Combinatorial Hopf
Algebras - Examples and Realizations, Nato Advanced Study
Institute School on Physics and Computer Science, 2005, october,
17-29, Cargese, France.
- Local Action of the Symmetric
Group and Generalizations of Quasi-Symmetric Functions
Submitted to Séminaire Lotharingien.
- Yang-Baxter bases of 0-Hecke algebras and representation
theory of 0-Ariki-Koike-Shoji algebras, (with J.-C. Novelli and
J.-Y. Thibon), Advances in Mathematics, 205(2), (2006), 504-548.
- r-Quasi-Symmetric Functions
proceedings of the 17th congres "Formal Power series and algebraic
combinatorics", June 20-June 25 2005, Taormina, Italy.
- On the distribution of surface extrema
in several one- and two-dimensional random landscapes (with
S. Nechaev, G. Oshanin and O. Vasilyev),
Journal of Statistical Physics}, 126, (2007), 243-279.
- The algebra of binary search trees,
(with Jean Christophe Novelli and Jean-Yves Thibon), Theoretical
Computer Science, 339(1) (2005), 129-165.
- Combinatoire et calculs symboliques
dans les algèbres de Hopf, defended 2004, December the 13.
- The peak algebra and the Hecke-clifford
algebras at q=0, (with N. Bergeron and J.-Y. Thibon),
J. Combinatorial Theory A, 117 (2004), 1-19.
- An analogue of the plactic monoïd for
binary search trees, (with Jean Christophe Novelli and
Jean-Yves Thibon) in Proceedings of the 4th Conference on
Combinatorics on Words, (Turku, 10-13 septembre 2003), Turku Centre
for Comp. Sc. 27, (T. Harju and J. Karhumäki ed.).
- Mupad-combinat, an open-source
package for research in algebraic combinatorics, Séminaire
Lotharingien de Combinatoire, 51 (2003), 70 p.
électronique.
- Sur quelques propriétés de l'algèbre
des arbres binaires, (with Jean Christophe Novelli and
Jean-Yves Thibon) C. R. Acad. Sci. Paris, 337(9) (2003),
565-568.
- Un analogue du monoïde plaxique pour
les arbres binaires de recherche, (with Jean Christophe Novelli
and Jean-Yves Thibon) C. R. Acad. Sci. Paris, 335 (2002),
1-4.
- Deformation of symmetric functions
and the rational Steenrod algebra, dans Proceedings of the
Classical Invariant Theory Workshop, Kingston, April 8-19, 2002,
CRM Proceedings series of the AMS, (2002).
- Noncommutative symmetric functions VI:
Free quasi-symmetric functions and related algebras,
Internat. J. Alg. Comp., 2 (2002), 671-717.
- The Chinese monoid (with Julien
Cassaigne, Marc Espie, Daniel Krob and Jean-Christophe Novelli)
Internat. J. Algebra Comput., 11(3) (2001), 301-334.
- Pseudo-permutations. {II}. {G}eometry
and representation theory (with F. Boulier, D. Krob and
J.-C. Novelli), in Discrete models: combinatorics, computation, and
geometry, (Paris, 2001), Discrete Math. Theor. Comput. Sci. Proc.,
AA (2001), 123-132.
- Approximation of a direction of N^d in
bounded coordinates (with J.-C. Novelli and G. Schaeffer),
in Mobile Networks and Applications 6:6 (2001), discrete
algorithms and methods for mobile computing and communication, 547-550.
- Hecke algebras, difference
operators and quasi-symmetric functions, Advances in
Maths. 155 (2000), p. 181-238.
- Noncommutative symmetric
functions and quasi-symmetric functions with two and more
parameters (with J.-Y. Thibon and A. Lascoux), preprint Isaac
Newton Institute, Cambridge, England.
- Some Generalizations of
Quasi-symmetric Functions and Noncommutative Symmetric
Functions, proceedings of the 12th congres "Formal Power series
and algebraic combinatorics", State University of Moscow, juin 2000
(D. Krob, A.-A. Mikhalev and A.-V. Mikhalev ed) (2000), 170-178,
Springer, Berlin.
- Une Généralisation commune
des fonctions quasi-symétriques et non commutatives, (with
Gerard Duchamp and Jean-Yves Thibon) C. R. Acad. Sci. Paris,
328 (1999), Série I, p. 1113-1116.
- Combinatoire des fonctions
quasi-symétriques, PhD thesis, defended 1999, January the 15.
- Quasi-symmetric functions and
Hecke algebras actions, Proceeding of the 10-th congres "Formal
Power series and algebraic combinatorics", Fields intitute,
Toronto, june 1998 (N. Bergeron and F. Sottile eds.), p. 325-339.
- Analogues non-commutatifs et
quasi-symétriques des fonctions de Hall-Littlewood et modules de
Demazure d'une algèbre quantique dégénérée,
C. R. Acad. Sci. Paris, t. 362, Série I, p. 1-6, 1998.
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