Quantum Independent Increment Processes II: Structure of Quantum Levy Processes, Classical Probability, and Physics

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This is the second volume 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 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 Kummerer, Classical and Free Infinite Divisibility and Levy Processes by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and Levy Processes on Quantum Groups andDual Groups by Uwe Franz