3 citations · 5 across the 8 of their papers we have counts for
8 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…
KAM Theory for almost-periodic equilibria in one dimensional almost-periodic media
Yujia An, Rafael de la Llave, Xifeng Su +2
We consider one dimensional chains of interacting particles subjected to one dimensional almost-periodic media. We formulate and prove two KAM type theorems corresponding to both s…
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…
Biorthogonal polynomials related to quantum transport theory of disordered wires
Dong Wang, Dong Yao
We consider the Plancherel-Rotach type asymptotics of the biorthogonal polynomials associated to the biorthogonal ensemble with the joint probability density function \begin{equati…
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…