2 papers
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…
math.PR2026
Hardy-Szegő Point Processes: Large Deviations and Strong Szegő Asymptotics
Qian Ai, Xiang Fang, Shengzhao Hou
We study exponential-scale fluctuations of the Hardy-Szegő zero process, investigated by Peres and Virág in the disk setting, in its upper-half-plane realization, which reveals a d…