Dynamical and Hamiltonian dilations of stochastic processes
type: Item
instance of: scholarly article
title: Dynamical and Hamiltonian dilations of stochastic processes
zbMATH Open document ID: 0607.60099
DOI: 10.1016/0034-4877(85)90027-8
author: Bernhard Baumgartner
author: H.-R. Grümm
published in: Reports on Mathematical Physics
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 60J99
zbMATH DE Number: 3982241
zbMATH Keywords: dilations
zbMATH Keywords: quantum dynamical semigroups
zbMATH Keywords: dynamical systems by loss of information
MaRDI profile type: Publication
full work available at URL: 0034-4877(85)90027-8
OpenAlex ID: W2014005938
cites work: Q4141695
cites work: Q5512461
cites work: Q3900532
cites work: Q5557067
cites work: Q5509277
cites work: Q5554207
cites work: Q5558469
cites work: Q5791821
cites work: Q5601136
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description: scientific article; zbMATH DE number 3982241