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Dynamical and Hamiltonian dilations of stochastic processes - MaRDI portal

Dynamical and Hamiltonian dilations of stochastic processes (Q1085535)

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scientific article; zbMATH DE number 3982241
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Dynamical and Hamiltonian dilations of stochastic processes
scientific article; zbMATH DE number 3982241

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    Dynamical and Hamiltonian dilations of stochastic processes (English)
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    1985
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    This is a study of the problem which stochastic processes could arise from dynamical systems by loss of information. The notions of ''dilation'' and ''approximate dilation'' of a stochastic process are introduced to give exact definitions of this particular relationship. It is shown that every generalized stochastic process is approximately dilatable by a sequence of dynamical systems, but for stochastic processes in full generality one needs nets.
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    dilations
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    quantum dynamical semigroups
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    dynamical systems by loss of information
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