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math.PR2024
Harmonic analysis of multiplicative chaos Part I: the proof of Garban-Vargas conjecture for 1D GMC
Zhaofeng Lin, Yanqi Qiu, Mingjie Tan
In this paper, we establish the exact Fourier dimensions of all standard sub-critical Gaussian multiplicative chaos on the unit interval, thereby confirming the Garban-Vargas conje…
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…