3 papers
math.PR2026
Nearest zero-critical point distances for Gaussian SU(2) polynomials
Renjie Feng
We study nearest zero--critical point distances for the Gaussian SU(2) polynomial . For each zero of , let denote its Fubini--Study distance to the neare…
math.PR2026
Poisson approximation of the largest gaps between zeros of a stationary Gaussian process
Renjie Feng, Stephen Muirhead
We study the largest gaps between successive zeros of a smooth stationary Gaussian process. Our main result is that, if correlations decay at least polynomially, then after suitabl…
math.PR2024
Large gaps of CUE and GUE
Renjie Feng, Dongyi Wei
In this article, we study the largest gaps of the classical random matrices of CUE and GUE, and show that after rescaling, the limiting densities are given by the Gumbel distributi…