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math.CA2024
Minimal cubature rules and Koornwinder polynomials
Yuan Xu
In his classical paper [5], Koornwinder studied a family of orthogonal polynomials of two variables, derived from symmetric polynomials. This family possesses a rare property that…
math.CA2024
Highly localized kernels on space of homogeneous type
Yuan Xu
Highly localized kernels based on orthogonal polynomials have been studied and utilized over several regular domains. Much of the results deduced via these kernels can be treated u…
math.CO2024
On the enumeration of series-parallel matroids
Nicholas Proudfoot, Yuan Xu, Ben Young
By the work of Ferroni and Larson, Kazhdan-Lusztig polynomials and Z-polynomials of complete graphs have combinatorial interpretations in terms of quasi series-parallel matroids. W…