71 citations · 71 across the 7 of their papers we have counts for
4 papers · 1 filter
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…