Central limit theorem associated to Gaussian operators of type B

2017/09/19 by Wiktor Ejsmont, Ejsmont, Wiktor
Mathematics · #FOS: Mathematics #Point processes and geometric inequalities #Probability (math.PR) #Random Matrices and Applications #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1709.06382

openalex publication_date 2017/09/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we formulate the CLT associated to Gaussian operators of type B -- see \citeBEH15, where important role is played by colored pair partitions. Then we present a certain family of noncommutative random matrix models for the (α,q)--deformed Gaussian random variables

Citations

• Hypercontractivity in Non-Commutative Holomorphic Spaces

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