Classical versions of q-Gaussian processes: conditional moments and Bell's inequality
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arXiv
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| Format: | Preprint |
| Publié: |
2000
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| _version_ | 1866910410350788608 |
|---|---|
| author | Bryc, Wlodzimierz |
| author_facet | Bryc, Wlodzimierz |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_math_0009023 |
| institution | arXiv |
| publishDate | 2000 |
| record_format | arxiv |
| spellingShingle | Classical versions of q-Gaussian processes: conditional moments and Bell's inequality Bryc, Wlodzimierz Quantum Algebra Operator Algebras Probability 81S05, 60E99 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. |
| title | Classical versions of q-Gaussian processes: conditional moments and Bell's inequality |
| topic | Quantum Algebra Operator Algebras Probability 81S05, 60E99 |
| url | https://arxiv.org/abs/math/0009023 |