5 papers
On the spectral radius of the ratio of Girko matrices
Djalil Chafaï, David GarcÃa-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…
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…
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…
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…
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…