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Quantum Independent Increment Processes II [electronic resource] :Structure of Quantum Levy Processes, Classical Probability, and Physics / edited by Michael Schüermann, Uwe Franz.

by Schüermann, Michael [editor.]; Franz, Uwe [editor.]; SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Lecture Notes in Mathematics: 1866Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.Description: XV, 340 p. online resource.ISBN: 9783540323853.Subject(s): Mathematics | Distribution (Probability theory) | Mathematical physics | Mathematics | Probability Theory and Stochastic Processes | Applications of Mathematics | Mathematical and Computational PhysicsDDC classification: 519.2 Online resources: Click here to access online
Contents:
Random Walks on Finite Quantum Groups -- Quantum Markov Processes and Applications in Physics -- Classical and Free Infinite Divisibility and Lévy Processes -- Lévy Processes on Quantum Groups and Dual Groups -- Index.
In: Springer eBooksSummary: This is the second of two volumes containing the revised and completed notes of 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 in March, 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 second volume contains the following lectures: "Random Walks on Finite Quantum Groups" by Uwe Franz and Rolf Gohm, "Quantum Markov Processes and Applications in Physics" by Burkhard Kümmerer, Classical and Free Infinite Divisibility and Lévy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "Lévy Processes on Quantum Groups and Dual Groups" by Uwe Franz.
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Random Walks on Finite Quantum Groups -- Quantum Markov Processes and Applications in Physics -- Classical and Free Infinite Divisibility and Lévy Processes -- Lévy Processes on Quantum Groups and Dual Groups -- Index.

This is the second of two volumes containing the revised and completed notes of 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 in March, 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 second volume contains the following lectures: "Random Walks on Finite Quantum Groups" by Uwe Franz and Rolf Gohm, "Quantum Markov Processes and Applications in Physics" by Burkhard Kümmerer, Classical and Free Infinite Divisibility and Lévy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "Lévy Processes on Quantum Groups and Dual Groups" by Uwe Franz.

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