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math.PR2026
Canonical analytic realizations of hyperbolic determinantal processes
Xiang Fang, Feng Guo, Shengzhao Hou +1
Krishnapur asked whether the invariant hyperbolic determinantal point processes on the disk admit a random analytic zero-set interpretation at noninteger parameters. We construct s…
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…