Moments and $q$-commutators of noncommutative random vectors

Details Moments and $q$-commutators of noncommutative random vectors Moments and $q$-commutators of noncommutative random vectors

2011-04-22

arxiv.org/abs/1104.4395v2

Mathematics

Probability

14 pages, 1 figure

Scientific paper

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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