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Classical versions of q-Gaussian processes: conditional moments and Bell's inequality

Wlodzimierz Bryc

math.QAarXiv:math/0009023

Abstract

We show that classical processes corresponding to operators what satisfy a q-commutative relation have linear regressions and quadratic conditional variances. From this we deduce that Bell's inequality for their covariances can be extended from q=-1 to the entire range -1<q<1.

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