Noncommutative Stationary Processes

Paperback Engels 2004 2004e druk 9783540209263
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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.

Specificaties

ISBN13:9783540209263
Taal:Engels
Bindwijze:paperback
Aantal pagina's:172
Uitgever:Springer Berlin Heidelberg
Druk:2004

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Inhoudsopgave

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.

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        Noncommutative Stationary Processes