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- W2800641942 abstract "We extend the Nonconventional Ergodic Theorem for generic measures by Furstenberg, to several situations of interest arising from quantum dynamical systems. We deal with the state canonically associated to the product state (i.e. quantum diagonal measures), or to convex combinations of measures for non ergodic cases. For the sake of completeness, we treat also the Nonconventional Ergodic Theorem for compact dynamical systems, that is when the unitary generating the dynamics in the GNS representation is almost periodic. The Nonconventional Ergodic Theorem allows in a natural way to determine the limit of the three-point correlations, naturally relevant for the knowledge of the ergodic properties of a dynamical system." @default.
- W2800641942 created "2018-05-17" @default.
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- W2800641942 date "2012-03-23" @default.
- W2800641942 modified "2023-09-24" @default.
- W2800641942 title "Nonconventional ergodic theorem for quantum diagonal measures in non ergodic case" @default.
- W2800641942 hasPublicationYear "2012" @default.
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