Showing math.PRShow all
2 papers · 1 filter
math.PR2026
Endpoint and Vanishing-Density Asymptotics for Hardy--Szegő Zero Counts
Bonan Chen
We study the number \(N_I(L)\) of zeros of the Hardy--Szegő zero process in the horizontal window \([0,L]\times I\) as \(L\to\infty\), where \(I=[α,β]\Subset(0,\infty)\) is fixed.…
math.PR2026
Critical Gaussian Multiplicative Chaos on the Circle Is Rajchman
Yin Cai, Bonan Chen, Xiang Fang +1
We prove that the Fourier coefficients of the canonical critical Gaussian multiplicative chaos on the circle vanish almost surely at infinity. More precisely, let $M_ϕ^{\mathrm{cri…