Conjectured statistics for the higher -Catalan sequences.
Construction of extended Steiner systems for information retrieval.
Determinantal expression and recursion for Jack polynomials.
Determinantal transition kernels for some interacting particles on the line
We find the transition kernels for four markovian interacting particle systems on the line, by proving that each of these kernels is intertwined with a Karlin–McGregor-type kernel. The resulting kernels all inherit the determinantal structure from the Karlin–McGregor formula, and have a similar form to Schütz’s kernel for the totally asymmetric simple exclusion process.
Diagonal Temperley-Lieb invariants and harmonics.
Differential estimate for -ary forms on closed orthants.
Discrete excursions.
Divided differences and symmetric functions
L'operatore di differenze multivariate è utilizzato per stabilire varie formule di somme riguardanti le funzioni simmetriche, le quali hanno uno stretto legame con le identità del «termine costante».
Domino tableaux, functions and plethysms. (Tableaux de dominos, fonctions et plethysmes.)
Enumeration by stabilizer class of patterns with local restrictions.
Enumerative applications of symmetric functions.
Enumerative consequences of the symmetry of Schur functions. (Conséquences énumératives de la symétrie des fonctions de Schur.)
Erweiterte Fassung eines von Clebsch aufgestellten Uebertragungsprincips und deren Anwendung
Explicit plethystic formulas for Macdonald -Kostka coefficients.
Factorial Grothendieck polynomials.
Flag-symmetric and locally rank-symmetric partially ordered sets.
Free quasi-symmetric functions, product actions and quantum field theory of partitions.
Further determinant identities related to classical root systems
By introducing polynomials in matrix entries, six determinants are evaluated which may be considered extensions of Vandermonde-like determinants related to the classical root systems.
Gelfand-Graev characters of the finite unitary groups.
Generalization of Waring-type formulas. (Généralisation de formules de type Waring.)