4 papers
Fourier asymptotics of critical Gaussian multiplicative chaos on the circle
Yin Cai, Bonan Chen, Xiang Fang +1
We study the high-frequency Fourier coefficients of critical Gaussian multiplicative chaos on the circle, for logarithmic covariances with an arbitrary admissible smooth,…
The Local Embedding Problem for Hardy Spaces of Dirichlet Series
Bonan Chen, Xiang Fang, Feng Guo +3
We solve the local embedding problem for Hardy spaces of Dirichlet series, which is a dimension-free trace problem asking whether the global -norm controls local $L^…
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.…
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…