2 papers
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.PR2024
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…