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Showing 1 to 3 of 3 for “"Hall-Littlewood Polynomials"”.
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Abacus-Tournament Models of Hall-Littlewood Polynomials
… combinatorial interpretations for three types of HallLittlewood polynomials (denoted Rλ, Pλ, and Qλ) by using weighted combinatorial objects called abacus-tournaments. We then apply these models to give combinatorial proofs of properties of Hall-Littlewood polynomials. For example, we show why …
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Multiparameter BCn-Kostka-Foulkes Polynomials
The Kostka-Foulkes polynomials describe the change of basis between Schur polynomials and Hall-Littlewood polynomials. In this paper, we extend this idea to the family of BCn Macdonald spherical functions, with multiparameter Kostka-Foulkes polynomials acting as the change of basis from the BC_n …
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Asymptotics, exact results, and analogies in p-adic random matrix theory
… results regarding p-adic random matrices and Hall-Littlewood polynomials, and asymptotic results proven using these tools. Many of the results of both types are motivated and guided by analogies to existing results in classical random matrix theory over R, C or H, but often exhibit …