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

Uwe Franz, Rolf Rolf (auth.), Michael Schüermann, Uwe Franz (eds.)3540244077, 9783540244073

This is the second of two volumes containing the revised and completed notes of 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 in March, 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 Kümmerer, Classical and Free Infinite Divisibility and Lévy Processes” by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and “Lévy Processes on Quantum Groups and Dual Groups” by Uwe Franz.

Table of contents :
Random Walks on Finite Quantum Groups….Pages 1-32
Classical and Free Infinite Divisibility and Lévy Processes….Pages 33-159
Lévy Processes on Quantum Groups and Dual Groups….Pages 161-257
Quantum Markov Processes and Applications in Physics….Pages 259-330