3 papers
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…
math.PR2024
The Restricted Isometry Property of Block Diagonal Matrices Generated by -Sub-Gaussian Variables
Yiming Chen, Guozheng Dai, Kaiti Ding
In this paper, we prove the restricted isometry property of block diagonal random matrices with elements from -sub-Gaussian variables, which extends the previously known result…