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math.PR2025
Counting the number of group orbits by marrying the Burnside process with importance sampling
Persi Diaconis, Chenyang Zhong
This paper introduces a novel and general algorithm for approximately counting the number of orbits under group actions. The method is based on combining the Burnside process and i…
math.PR2024
Large deviation bounds for the Airy point process
Chenyang Zhong
In this paper, we establish the first large deviation bounds for the Airy point process. The proof is based on a novel approach which relies upon the approximation of the Airy poin…