Stochastic Processes and Operator Calculus on Quantum Groups / Edition 1

Paperback (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $84.88
Usually ships in 1-2 business days
(Save 28%)
Other sellers (Paperback)
  • All (6) from $84.88   
  • New (5) from $84.88   
  • Used (1) from $152.10   


This book aims to present several new developments on shastic processes and operator calculus on quantum groups. Topics which are treated include operator calculus, dual representations, shastic processes and diffusions, Appell polynomials and systems in connection with evolution equations.
Audience: This volume contains introductory material for graduate students who are new to the field, as well as more advanced material for specialists in probability theory, algebraic structures, representation theory, mathematical physics and theoretical physics.

Read More Show Less

Editorial Reviews

Franz (Ernst-Moritz-Arndt-Universit<:a>t Greigwald, Germany) and Schott (Universit<'e> Henri Poincar<'e>-Nancy, France) present several new aspects related to quantum groups<-->operator calculus, dual representations, stochastic processes and diffusions, Appell polynomials and systems in connection with evolution equations. Much of the material can be found scattered throughout available literature, however, the presentation of representation theory in connection with Appell systems is original. Stochastic processes, such as Brownian motion, diffusion processes and L<'e>vy processes, are investigated, and several examples are presented. The text is accessible to graduate students and researchers not specialized in quantum probability. Annotation c. Book News, Inc., Portland, OR (
Read More Show Less

Product Details

  • ISBN-13: 9789048152902
  • Publisher: Springer Netherlands
  • Publication date: 12/9/2010
  • Series: Mathematics and Its Applications (closed) Series, #490
  • Edition description: Softcover reprint of hardcover 1st ed. 1999
  • Edition number: 1
  • Pages: 232
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.51 (d)

Table of Contents

Preface. 1. Introduction. 2. Preliminaries on Lie groups. 3. Hopf algebras, quantum groups and braided spaces. 4. Shastic Processes on quantum groups. 5. Markov Structure of quantum Lévy Processes. 6. Diffusions on braided spaces. 7. Evolution equations and Lévy processes on quantum groups. 8. Gauss Laws in the sense of Bernstein on quantum groups. 9. Phase retrieval for probability distributions on quantum groups. 10. Limit theorems on quantum groups. Bibliography. Index.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)