93 citations · 766 across the 42 of their papers we have counts for
4 papers · 2 filters
Macdonald polynomials in superspace: conjectural definition and positivity conjectures
O. Blondeau-Fournier, P. Desrosiers, L. Lapointe +1
We introduce a conjectural construction for an extension to superspace of the Macdonald polynomials. The construction, which depends on certain orthogonality and triangularity rela…
Asymptotics for products of characteristic polynomials in classical -Ensembles
Patrick Desrosiers, Dang-Zheng Liu
We study the local properties of eigenvalues for the Hermite (Gaussian), Laguerre (Chiral) and Jacobi -ensembles of random matrices. More specifically, we calculate…
Selberg Integrals, Super hypergeometric functions and Applications to -Ensembles of Random Matrices
Patrick Desrosiers, Dang-Zheng Liu
We study a new Selberg-type integral with indeterminates, which turns out to be related to the deformed Calogero-Sutherland systems. We show that the integral satisfies a hol…
Jack superpolynomials with negative fractional parameter: clustering properties and super-Virasoro ideals
Patrick Desrosiers, Luc Lapointe, Pierre Mathieu
The Jack polynomials P_λ^{(α)} at α=-(k+1)/(r-1) indexed by certain (k,r,N)-admissible partitions are known to span an ideal I^{(k,r)}_N of the space of symmetric functions in N va…