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math.PR2025
Gaussian limit for Pfaffian point processes
Kai Wang, Mei Xu
We prove a central limit theorem for linear statistics of a broad class of Pfaffian point processes. As an application, we derive Gaussian limits for scaled linear statistics of st…
math.PR2024
Number rigid determinantal point processes induced by generalized Cantor sets
Zhaofeng Lin, Yanqi Qiu, Kai Wang
We consider the Ghosh-Peres number rigidity of translation-invariant determinantal point processes on the real line , whose correlation kernels are induced by the Fouri…
math.PR2024
A Law of large numbers for vector-valued linear statistics of Bergman DPP
Zhaofeng Lin, Yanqi Qiu, Kai Wang
We establish a law of large numbers for a certain class of vector-valued linear statistics for the Bergman determinantal point process on the unit disk. Our result seems to be the…