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OverviewThe leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion of Kolmogorov-Sinai dynamical entropy and of its inequivalent quantum extensions formulated by Connes, Narnhofer and Thirring on one hand and Alicki and Fannes on the other. Their connections with extensions to quantum systems of Kolmogorov-Chaitin-Solomonoff algorithmic complexity theory is also presented. The technical tools employed are those of the algebraic approach to quantum statistical mechanics which offers a unifying view of classical and quantum dynamical systems. Proofs and examples are provided in order to make the presentation self consistent. Full Product DetailsAuthor: Fabio BenattiPublisher: Springer Imprint: Springer Dimensions: Width: 23.40cm , Height: 2.80cm , Length: 15.60cm Weight: 0.757kg ISBN: 9781402093074ISBN 10: 1402093071 Pages: 548 Publication Date: 12 May 2009 Audience: General/trade , General Format: Undefined Publisher's Status: Unknown Availability: Out of stock Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |