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

Random Walks on Finite Quantum Groups -- Quantum Markov Processes and Applications in Physics -- Classical and Free Infinite Divisibility and LȨvy Processes -- LȨvy 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 Kȭmmerer, Classical and Free Infinite Divisibility and LȨvy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "LȨvy Processes on Quantum Groups and Dual Groups" by Uwe Franz.

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