6 papers
A quantitative CLT for the zeros of random trigonometric polynomials
Ao Huang, Zhonggen Su, Xiaolin Wang
Let , , be a stationary Gaussian trigonometric polynomial, and let denote the number of zeros of the rescaled process on . We e…
Normal approximation for the polynomial functionals of correlated random field sampling along random walk path in dimension
Ao Huang, Guanglin Rang, Zhonggen Su
Let be the stationary occupation field generated by a Poisson system of independent simple symmetric random walks on in space--time dimension . For a finite se…
Quantitative estimates of the singular values of random i.i.d. matrices
Guozheng Dai, Zhonggen Su, Hanchao Wang
Let be an random i.i.d. matrix. This paper studies the deviation inequality of , the -th smallest singular value of . In particular, when the en…
Uniform Hanson-Wright Type Deviation Inequalities for -Subexponential Random Vectors
Guozheng Dai, Zhonggen Su
This paper is devoted to uniform versions of the Hanson-Wright inequality for a random vector with independent centered -subexponential entries, . Our method relies up…
On Log-Concave-Tailed Chaoses and the Restricted Isometry Property
Guozheng Dai, Zhonggen Su, Vladimir Ulyanov +1
In this paper, we obtain a -th moment bound for the suprema of a log-concave-tailed nonhomogeneous chaos process, which is optimal in some special cases. A crucial ingredient of…
Deviation Inequalities for the Spectral Norm of Structured Random Matrices
Guozheng Dai, Zhonggen Su
We study the deviation inequality for the spectral norm of structured random matrices with non-gaussian entries. In particular, we establish an optimal bound for the -th moment…