On the history of the isomorphism problem of dynamical systems with special regard to von Neumann's contribution

DOI10.1007/s00407-011-0089-yzbMath1244.01014arXiv1110.0625OpenAlexW2069974243MaRDI QIDQ666274

Charlotte Werndl, Miklós Rédei

Publication date: 8 March 2012

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.0625

zbMATH Keywords

ergodic theorymeasure preserving transformationspectral isomorphismJohn von Neumannspatial isomorphism

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Ergodic theory of linear operators (47A35) Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Foundations of time-dependent statistical mechanics (82C03) History of statistical mechanics (82-03)

Related Items (6)

Ergodic properties of square-free numbers ⋮ A Halmos-von Neumann theorem for actions of general groups ⋮ Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry ⋮ On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions ⋮ Data-driven spectral analysis of the Koopman operator ⋮ On the Approximation of Koopman Spectra of Measure-Preserving Flows

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