From classical probability to quantum stochastic calculus
著者
書誌事項
From classical probability to quantum stochastic calculus
(Lecture notes in mathematics, 1865 . Quantum independent increment processes ; 1)
Springer, c2005
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V.1865410.8/L507/v.186506271688,
V.1866410.8/L507/v.186606404009, 410.8/L507/v.186506271688 -
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This volume is the first of two volumes containing the revised and completed notes lectures given at the school "Quantum Independent Increment Processes: Structure and Applications to Physics". This school was held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald during the period March 9 - 22, 2003, and supported by the Volkswagen Foundation. The school gave an introduction to current research on quantum independent increment processes aimed at graduate students and non-specialists working in classical and quantum probability, operator algebras, and mathematical physics.
The present first volume contains the following lectures: "Levy Processes in Euclidean Spaces and Groups" by David Applebaum, "Locally Compact Quantum Groups" by Johan Kustermans, "Quantum Stochastic Analysis" by J. Martin Lindsay, and "Dilations, Cocycles and Product Systems" by B.V. Rajarama Bhat.
目次
Levy Processes in Euclidean Spaces and Groups.- Locally Compact Quantum Groups.- Quantum Stochastic Analysis - an Introduction.- Dilations, Cocycles and Product Systems.
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