Quantum Independent Increment Processes I
Quantum Independent Increment Processes I From Classical Probability to Quantum Stochastic Calculus / [electronic resource] :
edited by Michael Schürmann, Uwe Franz.
- XVIII, 299 p. online resource.
- Lecture Notes in Mathematics, 1865 0075-8434 ; .
- Lecture Notes in Mathematics, 1865 .
Lévy Processes in Euclidean Spaces and Groups -- Locally Compact Quantum Groups -- Quantum Stochastic Analysis - an Introduction -- Dilations, Cocycles and Product Systems.
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.
9783540314509
10.1007/b105131 doi
Distribution (Probability theory.
Mathematics.
Probability Theory and Stochastic Processes.
Applications of Mathematics.
Theoretical, Mathematical and Computational Physics.
QA273.A1-274.9 QA274-274.9
519.2
Lévy Processes in Euclidean Spaces and Groups -- Locally Compact Quantum Groups -- Quantum Stochastic Analysis - an Introduction -- Dilations, Cocycles and Product Systems.
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.
9783540314509
10.1007/b105131 doi
Distribution (Probability theory.
Mathematics.
Probability Theory and Stochastic Processes.
Applications of Mathematics.
Theoretical, Mathematical and Computational Physics.
QA273.A1-274.9 QA274-274.9
519.2