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math.PR2026
Randomized second order Riesz projections on the Hamming cube
Yiming Chen, Guozheng Dai
In this paper, we improve the arbitrary Banach space \(n \log n\) bound of Ivanisvili--Volberg \cite{IvanisviliVolberg2022} for the second order projection bound to the order \(\sq…
math.PR2026
A note on correlation inequalities for regular increasing families
Yiming Chen, Guozheng Dai
This paper establishes quantitative correlation inequalities between monotone events and structured threshold objects in both the discrete cube and Gaussian space. We prove that fo…