3 citations · 3 across the 2 of their papers we have counts for
6 papers
Rotated semicircle laws for permanental roots of Gaussian random matrices
Renjie Feng, Dong Yao
For matrices drawn from the standard Gaussian orthogonal ensemble (GOE) and Gaussian unitary ensemble (GUE), we prove that the normalized zero counting measure of the permanental c…
Smallest gaps between zeros of stationary Gaussian processes
Renjie Feng, Friedrich Götze, Dong Yao
In this paper, we study the smallest gaps between successive zeros of nondegenerate smooth stationary centered Gaussian processes on the real line with the assumption that the cova…
Smallest distances between zeros of Gaussian analytic functions
Renjie Feng, Dong Yao
In this article, we study the smallest distances between the zeros of Gaussian analytic functions over compact Riemann surfaces. Our main result is that, after appropriate rescalin…
Critical radii and suprema of random waves over Riemannian manifolds
Renjie Feng, Dong Yao, Robert J. Adler
We study random waves on smooth, compact, Riemannian manifolds under the spherical ensemble. Our first main result shows that there is a positive universal limit for the critical r…
Small gaps of GSE
Renjie Feng, Jiaming Li, Dong Yao
In this paper, we study the smallest gaps for the Gaussian symplectic ensemble (GSE). We prove that the rescaled smallest gaps and their locations converge to a Poisson point proce…
Principal minors of Gaussian orthogonal ensemble
Renjie Feng, Gang Tian, Dongyi Wei +1
In this paper, we study the extremal process of the maxima of all the largest eigenvalues of principal minors of the classical Gaussian orthogonal ensemble (GOE). We prove that the…