Central limit theorem associated to Gaussian operators of type B

Wiktor Ejsmont

Central limit theorem associated to Gaussian operators of type B

Probability 2017-09-20 v1

Authors: Wiktor Ejsmont

Abstract

In this article we formulate the CLT associated to Gaussian operators of type B -- see \cite{BEH15}, where important role is played by colored pair partitions. Then we present a certain family of noncommutative random matrix models for the $(\alpha,q)$ --deformed Gaussian random variables

Keywords

central limit theorem Gaussian operators of type B noncommutative random matrix models colored pair partitions deformed Gaussian random variables

Cite

@article{arxiv.1709.06382,
  title  = {Central limit theorem associated to Gaussian operators of type B},
  author = {Wiktor Ejsmont},
  journal= {arXiv preprint arXiv:1709.06382},
  year   = {2017}
}

Comments

13 pages

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