Quantum Independent Increment Processes I
David Applebaum, J. Martin Lindsay, Johan Kustermans, et al.
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
This volume is the first of two volumes containing the revised and completed notes lectures given at the school "e;Quantum Independent Increment Processes: Structure and Applications to Physics"e;. 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: "e;Levy Processes in Euclidean Spaces and Groups"e; by David Applebaum, "e;Locally Compact Quantum Groups"e; by Johan Kustermans, "e;Quantum Stochastic Analysis"e; by J. Martin Lindsay, and "e;Dilations, Cocycles and Product Systems"e; by B.V. Rajarama Bhat.