Gaussian Random Matrix Models for q-deformed Gaussian Random Variables
Piotr Sniady
Abstract
We construct a family of random matrix models for the q-deformed Gaussian random variables Gμ=aμ+aμwhere the annihilation operators aμand creation operators aνfulfil the q-deformed commutation relation aμaν-q aνaμ=Γμν, Γμν is the covariance and 0<q<1 is a given number. Important feature of considered random matrices is that the joint distribution of their entries is Gaussian.
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