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20242026
most citedSmallest gaps between zeros of stationary Gaussian processes

3 citations · 3 across the 2 of their papers we have counts for

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5 papers

math.PR20263 cited

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…

math.PR2026

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…

math-ph2025

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…

math.PR2025

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…

math.DS2024

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…