Square-ice enumeration.
Stable equivalence over symmetric functions.
Superization and -specialization in combinatorial Hopf algebras.
Symmetric and antisymmetric vector-valued Jack polynomials.
Symmetric functions and multivariate basic hypergeometric series. (Fonctions symétriques et séries hypergéométriques basiques multivariées.)
Symmetric functions. (Fonctions symétriques.)
Symmetric functions for the generating matrix of the Yangian of .
Symmetric polynomials and divided differences in formulas of intersection theory
The goal of this paper is at least two-fold. First we attempt to give a survey of some recent (and developed up to the time of the Banach Center workshop Parameter Spaces, February '94) applications of the theory of symmetric polynomials and divided differences to intersection theory. Secondly, taking this opportunity, we complement the story by either presenting some new proofs of older results (and this takes place usually in the Appendices to the present paper) or providing some new results which...
Tensorial square of the hyperoctahedral group coinvariant space.
The adaptation of the -means algorithm to solving the multiple ellipses detection problem by using an initial approximation obtained by the DIRECT global optimization algorithm
We consider the multiple ellipses detection problem on the basis of a data points set coming from a number of ellipses in the plane not known in advance, whereby an ellipse is viewed as a Mahalanobis circle with center , radius , and some positive definite matrix . A very efficient method for solving this problem is proposed. The method uses a modification of the -means algorithm for Mahalanobis-circle centers. The initial approximation consists of the set of circles whose centers are determined...
The asymptotic behavior of elementary symmetric functions on a probability distribution.
The combinatorial structure of trigonometry.
The combinatorics of Macdonald's operator.
The hyperharmonic numbers and the phratry of the coupon collector. (Les nombres hyperharmoniques et la fratrie du collectionneur de vignettes.)
The Littlewood-Richardson rule - the cornerstone for computing group properties
The number of ribbon Schur functions.
The plethysm at hook and near-hook shapes.
The ring of multisymmetric functions
We give a presentation (in terms of generators and relations) of the ring of multisymmetric functions that holds for any commutative ring , thereby answering a classical question coming from works of F. Junker [J1, J2, J3] in the late nineteen century and then implicitly in H. Weyl book “The classical groups” [W].
The Stanley-Féray-Śniady formula for the generalized characters of the symmetric group
We show that the explicit formula of Stanley-Féray-Śniady for the characters of the symmetric group has a natural extension to the generalized characters. These are the spherical functions of the unbalanced Gel’fand pair .
The use of Schubert polynomials in SYMCHAR.