Quantum Independent Increment Processes I

From Classical Probability to Quantum Stochastic Calculus

  • Editors
  • Michael Schürmann
  • Uwe Franz

Part of the Lecture Notes in Mathematics book series (LNM, volume 1865)

Table of contents

  1. Front Matter
    Pages I-XVIII
  2. Johan Kustermans
    Pages 99-180
  3. J. Martin Lindsay
    Pages 181-271
  4. B. V. Rajarama Bhat
    Pages 273-291
  5. Back Matter
    Pages 293-299

About this book


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.


Lévy process Lévy processes Stochastic calculus compressions and dilations mathematical physics quantum dynamical semigroups quantum groups quantum stochastic calculus

Bibliographic information