3 papers
math.PR2025
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…
math.CA2025
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…
math.CA2023
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…