Central limit theorem associated to Gaussian operators of type B

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

13 pages

References in corpus (2)

• Central limit theorems for sequences of multiple stochastic integrals
• Strong hypercontractivity in non-commutative holomorphic spaces