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arXiv:1104.4395 · Infinite Dimensional Analysis Quantum Probability and Related Topics

MOMENTS AND q-COMMUTATORS OF NONCOMMUTATIVE RANDOM VECTORS

Krzysztof Drożdżewicz, Wojciech Matysiak

Published Dec 1, 2011• 2 citations
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Abstract

A method for computing the mixed moments of (not necessarily commutative) random vectors from the first-order moments, the q-commutators between the annihilation and creation operators, and the q-commutators between the annihilation and preservation operators, is presented. The method is illustrated by a relevant characterization of q-Gaussian vectors.

DOI
10.1142/s0219025711004560

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A method for computing the mixed moments of (not necessarily commutative) random vectors from the first-order moments, the q-commutators between the annihilation and creation operators, and the q-commutators between the annihilation and preservation operators, is presented. The method is illustrated by a relevant characterization of q-Gaussian vectors.
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