93 citations · 766 across the 42 of their papers we have counts for
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Ramond singular vectors and Jack superpolynomials
L. Alarie-Vezina, P. Desrosiers, P. Mathieu
The explicit formula for the superconformal singular vectors in the Neveu-Schwarz sector has been obtained recently, via its symmetric polynomial representation, as a sum of Jack s…
Jack polynomials with prescribed symmetry and some of their clustering properties
Patrick Desrosiers, Jessica Gatica
We study Jack polynomials in variables, with parameter , and having a prescribed symmetry with respect to two disjoint subsets of variables. For instance, these polynomials…
Super-Whittaker vector at c=3/2
P. Desrosiers, L. Lapointe, P. Mathieu
The degenerate Whittaker vector of the superconformal algebra can be represented in terms of Jack superpolynomials. However, in this representation the norm of the Whittaker vector…
Scaling limits of correlations of characteristic polynomials for the Gaussian beta-ensemble with external source
Patrick Desrosiers, Dang-Zheng Liu
We study the averaged product of characteristic polynomials of large random matrices in the Gaussian beta-ensemble perturbed by an external source of finite rank. We prove that at…