Publications
[59]
J.-C. Aval,
About the determinant of complete non-ambiguous trees
, preprint (soumis).
[58]
D. Albertin, J.-C. Aval, H. Mlodecki,
Quasisymmetric invariants for families of posets
, preprint (soumis).
[57]
J.-C. Aval, S. Giraudo, T. Karaboghossian, A. Tanasa,
Graph operads: general constructions and natural extensions of canonical operads
, preprint (soumis).
[56]
J.-C. Aval, A. Boussicault, M. Petreolle, P. Laborde-Zubieta,
Generating functions of periodic parallelogram polyominoes
, preprint.
[55]
J.-C. Aval, K. Djenabou, P. McNamara,
Quasisymmetric functions distinguishing trees
, Algebraic Combinatorics, 6 (2023), 595-614.
[54]
J.-C. Aval, A. Boussicault, M. Bouvel, O. Guibert, M. Silimbani,
Baxter tree-like tableaux
, Australasian J. Combin., 86 (2023), 24-75.
[53]
J.-C. Aval, A. Boussicault, B. Delcroix-Oger, F. Hivert, P. Laborde-Zubieta,
Non-ambiguous trees: new results ans generalizations
, Europ. J of Combin., 95 (2021), 103331.
[52]
J.-C. Aval, T. Karaboghossian, A. Tanasa,
The Hopf monoid of hypergraphs and its sub-monoids: basic invariants and reciprocity theorems
, Elec. J of Combin., 21(1) (2020), P1.34.
[51]
J.-C. Aval, N. Bergeron, J. Machacek,
New invariants for permutations, orders and graphs
, Adv. Appl. Math., 121(2) (2020), 102080.
[50]
J.-C. Aval, S. Giraudo, T. Karaboghossian, A. Tanasa,
Graph insertion operads
, FPSAC'2020, Ramat-Gan (Israel), juillet 2020.
[49]
J.-C. Aval, F. Bergeron,
Interlaced rectangular Parking functions
, Sem. Lothar. de Comb., 81 (2019), B81h.
[48]
J.-C. Aval, T. Karaboghossian, A. Tanasa,
Basic invariants and reciprocity theorems for the Hopf monoid of hypergraphs and its sub-monoids.
, FPSAC'2019, Ljubljana (Slovenia), juillet 2019.
[47]
J.-C. Aval, F. Bergeron,
Rectangular Schröder parking functions combinatorics
, Sem. Lothar. de Comb., 79 (2018), B79a.
[46]
J.-C. Aval, F. Chapoton,
Poset structures on (m + 2)-angulations and polynomial bases of the quotient by Gm-quasisymmetric functions
, Sem. Lothar. de Comb., 77 (2016), B77b.
[45]
J.-C. Aval, A. Boussicault, B. Delcroix-Oger, F. Hivert, P. Laborde- Zubieta,
Non-ambiguous trees : new results ans generalizations
, FPSAC'2016, Vancouver (Canada), juillet 2016.
[44]
J.-C. Aval, M. D'Adderio, M. Dukes, Y. Le Borgne,
Two operators on sandpile configurations, the sandpile model on the complete bipartite graph and a cyclic lemma
, Adv. Appl. Math, 73 (2016) 59--98.
[43]
J.-C. Aval, V. Féray, J.-C. Novelli, J.-Y. Thibon
Quasi-symmetric functions as polynomials functions on Young diagrams
, J. Alg. Combinatorics, 41 (2015), 669-706.
[42]
J.-C. Aval, F. Bergeron, A. Garsia
Combinatorics of labelled parallogram polyominoes
, J. of Comb. Theory A, 132 (2015), 32-57.
[41]
J.-C. Aval, M. Dukes, Y. Le Borgne
A note on a bijection of Aldred, Atkinson and McCaughan
, note non publiée (2015).
[40]
J.-C. Aval, V. Féray, J.-C. Novelli, J.-Y. Thibon
Super quasi-symmetric functions via Young diagrams
, FPSAC'2014, Chicago (USA), juin 2014, in DMTCS Proceedings FPSAC'2014, 169-180.
[39]
J.-C. Aval, M. D'Adderio, M. Dukes, A. Hicks, Y. Le Borgne
Statistics on parallelogram polyominoes and a q,t-analogue of the Narayana numbers
J. Combin. Theory, Ser. A, 123 (2014) 271-286.
[38]
J.-C. Aval, A. Boussicault, M. Bouvel, M. Silimbani
Combinatorics of non-ambiguous trees
Adv. Appl. Math., 56 (2014), 78-108.
[37]
J.-C. Aval, A. Boussicault, S. Dasse-Hartaut
The tree structure in staircase tableaux
Sem. Lothar. de Comb., 70 (2014), B70g.
[36]
J.-C. Aval, M. D'Adderio, M. Dukes, A. Hicks, Y. Le Borgne
A q,t-analogue of the Narayana numbers
, FPSAC'2013, Paris (France), in DMTCS Proceedings FPSAC'2013, 623-634 (2013).
[35]
J.-C. Aval, A. Boussicault, M. Bouvel, M. Silimbani
Combinatorics of non-ambiguous trees
FPSAC'2013, Paris (France), in DMTCS Proceedings FPSAC'2013, 49-60 (2013).
[34]
J.-C. Aval
Combinatoire autour du groupe symétrique
Mémoire d'HDR, Université de Bordeaux (2013).
[33]
J.-C. Aval, A. Boussicault, P. Nadeau
Tree-like tableaux
Elec. J. Comb. 20 (2013) P34.
[32]
J.-C. Aval, A. Boussicault, S. Dasse-Hartaut
Dyck tableaux
Theor. Comput. Sci. 502 (2013), 195-209.
[31]
J.-C. Aval, P. Duchon
Half-turn symmetric FPLs with rare couplings and tilings of hexagons
Theor. Comput. Sci. 502 (2013), 143-152.
[30]
J.-C. Aval, F. Bergeron
Co-quasi-invariant spaces for finite complex reflection groups
J. Combin. Theory, Ser. A 119 (2012), 1432-1446.
[29]
J.-C. Aval, J.-C. Novelli, J.-Y. Thibon
The # product in combinatorial Hopf algebras
version longue de
[26]
non publiée (2012).
[28]
J.-C. Aval, A. Boussicault, S. Dasse-Hartaut
The tree structure in staircase tableaux
GASCom'2012, Bordeaux (2012).
[27]
J.-C. Aval, A. Boussicault, P. Nadeau
Tree-like tableaux
FPSAC'2011, Reykjavik, Islande, DMTCS Proceedings (2011).
[26]
J.-C. Aval, J.-C. Novelli J.-Y. Thibon
The # product in combinatorial Hopf algebras
FPSAC'2011, Reykjavik, Islande, DMTCS Proceedings (2011).
[25]
J.-C. Aval, P. Duchon
Enumeration of alternating sign matrices of even size (quasi-)invariant under a quarter turn
Elec. J. of Combin. 17 (2010) R51.
[24]
J.-C. Aval, X. Viennot
The product of trees in the Loday-Ronco algebra through Catalan alternative tableaux
Semin. Lothar. de Combin. 63 (2010), B63h.
[23]
J.-C. Aval, N. Bergeron, H. Li
Non-commutative Combinatorial Inverse Systems
Internat. J. of Algebra 4 (2010) 1003--1020.
[22]
J.-C. Aval,
On the symmetry of the partition function of some square ice models
Theor. Math. Phys, 161 (3) (2009), 1582--1589.
[21]
J.-C. Aval, P. Duchon
Enumeration of alternating sign matrices of even size (quasi-)invariant under a quarter turn
FPSAC'2009, Hagenberg, Austria, DMTCS Proceedings (2009).
[20]
J.-C. Aval
Keys and alternating sign matrices
, Sem. Lothar. Comb. 59 (2008), B59f.
[19]
J.-C. Aval, J.-F. Marckert
A symmetry property of some harmonic algebraic curves
note non publiée (2008).
[18]
J.-C. Aval
Multivariate Fuss-Catalan numbers
, Discrete Math., 308 (2008), 4660-4669.
[17]
J.-C. Aval
Ideals and quotients of B-quasisymmetric functions
, Sem. Lothar. Comb. 54 (2006), B54d.
[16]
J.-C. Aval
Multivariate Fuss-Catalan numbers and B-quasisymmetric functions
, FPSAC'2006, San Diego, USA (2006).
[15]
J.-C. Aval, N. Bergeron
Schur partial derivative operators
Europ. J. of Combin., 26 (2005), no. 6, 785--794
[14]
J.-C. Aval, F. Bergeron, N. Bergeron
Diagonal Temperley-Lieb Invariants and Harmonics
Sem. Lothar. Comb. 54A (2005), B54Aq (19 pages)
[13]
J.-C. Aval, F. Bergeron, N. Bergeron
Ideals of quasi-symmetric functions and Super-covariant polynomials for Sn
Adv. in Math., 81 (2004), no. 2, 353--367
[12]
J.-C. Aval, N. Bergeron
Catalan paths and quasi-symmetric functions
Proc. Amer. Math. Soc.131 (2003), 1053--1062
[11]
J.-C. Aval
Polynômes quasi-invariants et super-coinvariants pour le groupe symétrique généralisé
, Ann. Sci. Math. Québec, 27 (2003), no. 2, 111--121
[10]
J.-C. Aval
Quasi-invariant and super-coinvariant polynomials for the generalized symmetric group
, FPSAC'2003 (2003), CD-ROM, paper# 43.
[9]
J.-C. Aval,
On certain spaces of lattice diagram determinants
Discrete Math., 256 (2002), 557--575.
[8]
J.-C. Aval, N. Bergeron
Vanishing ideals of lattice diagram polynomials
J. Combin. Theory Ser. A 99 (2002), 244--260.
[7]
J.-C. Aval, F. Bergeron, N. Bergeron
Lattice diagram polynomials in one set of variables
Adv. in Appl. Math, 28 (2002), 343--359.
[6]
J.-C. Aval
Conjecture n! et généralisations
Mémoire de
Thèse
, publié aux
Editions du LaCIM
(2001).
[5]
J.-C. Aval
On certain spaces of lattice diagram polynomials
Actes du Colloque LaCIM2000, Montréal (2000), éditions du LaCIM (No 27), 43--51
[4]
J.-C. Aval
Monomial bases related to the n! conjecture
Discrete Math., 224 (2000), 15--35
[3]
J.-C. Aval
Bases explicites et conjecture n!
Formal Power Series and Algebraic Combinatorics, Springer-Verlag (2000), 103--112
[2]
J.-C. Aval
On sets represented by partitions
Europ. J. of Combin. (1999), 20, 317--320
[1]
J.-C. Aval
Sur les ensembles représentés par les partitions d'un entier n
Mémoire de DEA (1998).