Stochastic processes on quantum logics (Q797901)
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scientific article; zbMATH DE number 3870322
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stochastic processes on quantum logics |
scientific article; zbMATH DE number 3870322 |
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Stochastic processes on quantum logics (English)
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1980
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Joint distributions of observables were studied by several authors. In the present paper, we use the joint distributions originally introduced by \textit{K. Urbanik} [Stud. Math. 21, 117-133 (1961; Zbl 0099.224)]. We shall give a definition of the Brownian motion process analogous to the definition in the classical case and study its properties. We also try to construct a stochastic integral with respect to this Brownian motion process.
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quantum logics
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Joint distributions of observables
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stochastic integral
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