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math.PR2020★ 2 cited
Central Limit Theorem for Symmetric Exchangeable Random Variables
Ilya Soloveychik
A central limit theorem for arrays of symmetric row-wise exchangeable random variables is presented. The result is valid for finite and infinite extendable and non-extendable seque…
math.PR2018
Asymptotically Pseudo-Independent Matrices
Ilya Soloveychik, Vahid Tarokh
We show that the family of pseudo-random matrices recently discovered by Soloveychik, Xiang, and Tarokh in their work `Symmetric Pseudo-Random Matrices' exhibits asymptotic indepen…
math.PR2017
On the Spectral Norms of Pseudo-Wigner and Related Matrices
Ilya Soloveychik, Vahid Tarokh
We investigate the spectral norms of symmetric matrices from two pseudo-random ensembles. The first is the pseudo-Wigner ensemble introduced in "Pseudo-Wigner Matrices…