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Lecture Notes in Mathematics

Quantum Independent Increment Processes II

Structure of Quantum Lévy Processes, Classical Probability, and Physics

Authors: Barndorff-Nielsen, O.E., Franz, U., Gohm, R., Kümmerer, B., Thorbjørnsen, S.

Editors: Schuermann, Michael, Franz, Uwe (Eds.)

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About this book

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 (4 chapters)

  • Random Walks on Finite Quantum Groups

    Franz, Uwe (et al.)

    Pages 1-32

  • Classical and Free Infinite Divisibility and Lévy Processes

    Barndorff-Nielsen, Ole (et al.)

    Pages 33-159

  • Lévy Processes on Quantum Groups and Dual Groups

    Franz, Uwe

    Pages 161-257

  • Quantum Markov Processes and Applications in Physics

    Kümmerer, Burkhard

    Pages 259-330

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-540-32385-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $79.95
price for USA
  • ISBN 978-3-540-24407-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantum Independent Increment Processes II
Book Subtitle
Structure of Quantum Lévy Processes, Classical Probability, and Physics
Authors
Editors
  • Michael Schuermann
  • Uwe Franz
Series Title
Lecture Notes in Mathematics
Series Volume
1866
Copyright
2006
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-32385-3
DOI
10.1007/11376637
Softcover ISBN
978-3-540-24407-3
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XVI, 340
Topics