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arXiv · 1710.05882

Non-commutative probability and non-commutative processes

R. Vilela Mendes
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Abstract

A probability space is a pair ($\mathcal{A},ϕ$) where $\mathcal{A}$ is an algebra and $ϕ$ a state on the algebra. In classical probability $\mathcal{A}$ is the algebra of linear combinations of indicator functions on the sample space and in quantum probability $\mathcal{A}$ is the Heisenberg or Clifford algebra. However, other algebras are of interest in non-commutative probability. Here one discusses some other non-commutative probability spaces, in particular those associated to non-commutative space-time.

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BibTeXRIS

R. Vilela Mendes. 2019-12-11. Non-commutative probability and non-commutative processes. https://doi.org/10.1063/1.5089500

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