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

ISBN-13: 9783540244073 / Angielski / Miękka / 2005 / 340 str.

Ole E Barndorff-nielsen;Uwe Franz;Rolf Gohm

Opis

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 Kummerer, Classical and Free Infinite Divisibility and Levy Processes" by Ole E. Barndorff-Nielsen, Steen Thorbjornsen, and "Levy Processes on Quantum Groups and Dual Groups" by Uwe Franz.

Spis treści

Random Walks on Finite Quantum Groups.- Quantum Markov Processes and Applications in Physics.- Classical and Free Infinite Divisibility and Lévy Processes.- Lévy Processes on Quantum Groups and Dual Groups.- Index.