Publication year: 2005
ISBN: 978-3-540-31450-9
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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". The present first volume contains the following lectures: "Lévy 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.
Subject: Mathematics and Statistics, Lévy process, Lévy processes, Stochastic calculus, compressions and dilations, mathematical physics, quantum dynamical semigroups, quantum groups, quantum stochastic calculus