Noncommutative Stationary Processes by Rolf GohmNoncommutative Stationary Processes by Rolf Gohm

Noncommutative Stationary Processes

byRolf Gohm

Paperback | March 4, 2004

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Quantum probability and the theory of operator algebras are both concerned with the study of noncommutative dynamics. Focusing on stationary processes with discrete-time parameter, this book presents (without many prerequisites) some basic problems of interest to both fields, on topics including extensions and dilations of completely positive maps, Markov property and adaptedness, endomorphisms of operator algebras and the applications arising from the interplay of these themes. Much of the material is new, but many interesting questions are accessible even to the reader equipped only with basic knowledge of quantum probability and operator algebras.

Title:Noncommutative Stationary ProcessesFormat:PaperbackDimensions:172 pagesPublished:March 4, 2004Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:3540209263

ISBN - 13:9783540209263


Table of Contents

Preface.- Introduction.- 1. Extensions and dilations.- 2. Markov processes.- 3. Adaptedness.- 4. Examples and applications.- A. Some facts about unital completely positive maps.- References.- Index.