Xiang Fang

collaborators

5 papers

math.PR2026

Fourier asymptotics of critical Gaussian multiplicative chaos on the circle

Yin Cai, Bonan Chen, Xiang Fang +1

We study the high-frequency Fourier coefficients $C_{n}$ of critical Gaussian multiplicative chaos $M$ on the circle, for logarithmic covariances with an arbitrary admissible smooth,…

math.CV2026

Sharp Gaussian Mixed-Norm Theory for Fock Spaces

Xiang Fang, Pham Trong Tien

We develop a structural theory of the Gaussian mixed-norm Fock spaces $F_{α}^{p, q}$ , where $α > 0$ and $0 < p, q \leq \infty$ , which separate angular $L^{p}$ -means from radial Gaussi…

math.CV2026

Sampling and Interpolation in Gaussian Mixed-Norm Fock Spaces

Xiang Fang, Pham Trong Tien

We establish sharp sampling and interpolation criteria for the radial--angular Gaussian mixed-norm Fock spaces $F_{α}^{p, q}$ , where $α > 0$ and $0 < p, q \leq \infty$ . The natural p…

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…