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

arXiv comment13 pages

References in corpus (6)

• Central limit theorems for sequences of multiple stochastic integrals
• Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration
• Strong hypercontractivity in non-commutative holomorphic spaces
• Fourth Moment Theorem and q-Brownian Chaos
• Noncommutative probability of type D
• Fock space associated to Coxeter group of type B