PhD Thesis

Ph.D. in mathematics (Mars 2009), Université Lyon 1.
Title: Etudes combinatoires sur les permutations et partitions d'ensemble.
Advisor : Jiang Zeng.
Referees : I. Gessel, G. Han and X.G. Viennot.
Jury: S. Corteel, L. Habsieger, G. Han, J.C. Novelli, X.G. Viennot and J. Zeng.
Journal publications
 Distribution of crossings, nestings and alignments of two edges in matchings and partitions,
with J. Zeng,
Electronic Journal of combinatorics 13 (2006), no. 1, Research Paper 33, 12 pp.
 EulerMahonian statistics on ordered set partitions,
with M. Ishikawa and J. Zeng,
SIAM Journal on Discrete Mathematics 22, Issue 3 (2008), pp. 11051137.
 EulerMahonian statistics on ordered set partitions (II),
with J. Zeng,
Journal of Combinatorial Theory, Series A 116 (2009), Issue 3 , 539563.
 A classification of mahonian majinv statistics,
Advances in Applied Mathematics 42 (2009), Issue 3, 342357.
 Ascents and descents in 01fillings of moon polyominoes,
European Journal of Combinatorics 31 (2010), Issue 1, pp. 87105.
 dregular partitions and rook placements,
Séminaire Lotharingien de Combinatoire 62 (2009/10), Art. B62a, 8 pp.
 The combinatorics of AlSalamChihara qLaguerre polynomials,
with D. Stanton and J. Zeng,
Advances in Applied Mathematics 47 (2011), Issue 2, pp. 216239.
 Average values of some Zparameters in a random set partition,
Electronic Journal of combinatorics 18 (2011), no. 1, Research Paper 228, 42 pp.
 New Wilfequivalence results for vincular patterns,
European Journal of Combinatorics, 34 (2013), Issue 2, pp. 322337.
 Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials,
with M.E.H. Ismail and J. Zeng,
Journal of Combinatorial Theory, Series A 120 (2013), Issue 3 , pp. 561599.
Preprints and submitted papers
 On the limiting distribution of some numbers of crossings in set partitions,
submitted, arXiv:1301.6540.
 Inversion polynomials for 321avoiding permutations,
with S.E Cheng, S. Elizalde and B. E. Sagan,
submitted, arXiv:1112.6014.
 Enumeration of symmetric centered rhombus tilings of a hexagon,
with C. Krattenthaler,
preprint, arXiv:1306.1403.
 The most frequent peak set of a random permutation,
submitted, arXiv:1210.5869.
 Pattern avoidance in ordered set partitions and words ,
preprint, arXiv:1307.0495.
Conference proceedings
 Computing generating functions of ordered partitions with the transfermatrix method,
with M. Ishikawa and J. Zeng,
Fourth Colloquium on Mathematics and Computer Science Algorithms, Trees, Combinatorics and Probabilities, 193202, Discrete Math. Theor. Comput. Sci. Proc., AG, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2006.
 EulerMahonian statistics on ordered partitions and Steingrímsson's conjecturea survey,
with M. Ishikawa and J. Zeng,
Combinatorial representation theory and related topics, 99113, RIMS Kokyuroku Bessatsu, B8, Res. Inst. Math. Sci. (RIMS), Kyoto, 2008.