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Quantum Independent Increment Processes II

Structure of Quantum Levy Processes, Classical Probability, and Physics

  • Editors
  • Michael Schüermann
  • Uwe Franz
Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 1866)

Table of contents

  1. Front Matter
    Pages I-XV
  2. Uwe Franz, Rolf Rolf
    Pages 1-32
  3. Ole E. Barndorff-Nielsen, Steen Thorbjørnsen
    Pages 33-159
  4. Burkhard Kümmerer
    Pages 259-330
  5. Back Matter
    Pages 331-340

About this book

Introduction

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.

Keywords

Finite Lévy process Lévy processes Markov process Stochastic calculus algebra calculus compressions and dilations mathematical physics quantum dynamical semigroups quantum groups quantum stochastic calculus random walk

Bibliographic information

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