Noncommutative Stationary Processes / Edition 1

Noncommutative Stationary Processes / Edition 1

by Rolf Gohm
     
 

ISBN-10: 3540209263

ISBN-13: 9783540209263

Pub. Date: 04/14/2004

Publisher: Springer Berlin Heidelberg

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

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Overview

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.

Product Details

ISBN-13:
9783540209263
Publisher:
Springer Berlin Heidelberg
Publication date:
04/14/2004
Series:
Lecture Notes in Mathematics Series, #1839
Edition description:
2004
Pages:
172
Product dimensions:
9.21(w) x 6.14(h) x 0.39(d)

Related Subjects

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.

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