From Classical Probability to Quantum Stochastic Calculus
Series: Lecture Notes in Mathematics, Vol. 1865
Volume package: Quantum Independent Increment Processes
Applebaum, D., Bhat, B.V.R., Kustermans, J., Lindsay, J.M.
Schuermann, Michael, Franz, Uwe (Eds.)
2005, XVIII, 299 p.
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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". 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: "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.
Content Level » Research
Keywords » Lévy process - Lévy processes - Stochastic calculus - compressions and dilations - mathematical physics - quantum dynamical semigroups - quantum groups - quantum stochastic calculus
Related subjects » Applications - Probability Theory and Stochastic Processes - Theoretical, Mathematical & Computational Physics
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