71 citations · 71 across the 7 of their papers we have counts for
9 papers
Large deviations for the extremal eigenvalues of Ginibre ensembles
Yuanyuan Xu, Qiang Zeng
We establish large deviation principles for the extremal eigenvalues of the Ginibre ensembles with good rate functions. In contrast to the typical estimates for the extremal eigenv…
On Bernstein inequalities on the unit ball
Tomasz Beberok, Yuan Xu
Two types of Bernstein inequalities are established on the unit ball in , which are stronger than those known in the literature. The first type consists of inequaliti…
On the spectral radius of the ratio of Girko matrices
Djalil Chafaï, David García-Zelada, Yuan Yuan Xu
Girko matrices have independent and identically distributed entries of mean zero and unit variance. In this note, we consider the random matrix model formed by the ratio of two ind…
Approximation and orthogonality on fully symmetric domains
Yuan Xu
We study orthogonal polynomials on a fully symmetric planar domain that is generated by a certain triangle in the first quadrant. For a family of weight functions on , we sh…
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…
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…
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…
Orthogonal polynomials on domains of revolution
Yuan Xu
We study orthogonal polynomials for a weight function defined over a domain of revolution, where the domain is formed from rotating a two-dimensional region and goes beyond the qua…
Orthogonal polynomials of several variables
Yuan Xu
Preliminary version of Chapter 2 in the book "Encyclopedia of Special functions: The Askey-Bateman Project, Vol. 2: Multivariate special functions", T. H. Koornwinder and J. V. Sto…