Skip to content

 

Esamples are currently unavailable. We are working to correct the issues as quickly as possible. Thank you for your patience. 

Open global navigation

Cambridge University Press

AcademicLocation selectorSearch toggleMain navigation toggle
Cart
Register Sign in Wishlist

Harmonic Analysis on Finite Groups
Representation Theory, Gelfand Pairs and Markov Chains

$109.00

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: March 2008
  • availability: In stock
  • format: Hardback
  • isbn: 9780521883368

$109.00
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Starting from a few concrete problems such as random walks on the discrete circle and the finite ultrametric space, this book develops the necessary tools for the asymptotic analysis of these processes. Its topics range from the basic theory needed for students new to this area, to advanced topics such as the theory of Green’s algebras, the complete analysis of the random matchings, and a presentation of the presentation theory of the symmetric group. This self-contained, detailed study culminates with case-by-case analyses of the cut-off phenomenon discovered by Persi Diaconis.

    • Can be used as a textbook for advanced undergraduate and graduate students, and as a reference for researchers
    • First book with a complete treatment of the theory of Gelfand pairs
    • Contains 140 exercises, with solutions or generous hints, and over 60 fully-worked examples
    Read more

    Reviews & endorsements

    "This book is, as far as I know, the first treatise fully devoted to finite Gel'fand pairs and their applications to probability and combinatories. ... It has lots of worked-out examples, and dozens of exercises (the solutions of which can be found in Appendix 2)."
    Alain Valette, Mathematical Reviews

    "This is the perfect group theory resource for probability theory students."
    D.V. Feldman, University of New Hampshire for Choice Magazine

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 2008
    • format: Hardback
    • isbn: 9780521883368
    • length: 454 pages
    • dimensions: 234 x 160 x 25 mm
    • weight: 0.722kg
    • contains: 76 b/w illus. 5 tables 140 exercises
    • availability: In stock
  • Table of Contents

    Part I. Preliminaries, Examples and Motivations:
    1. Finite Markov chains
    2. Two basic examples on Abelian groups
    Part II. Representation Theory and Gelfand Pairs:
    3. Basic representation theory of finite groups
    4. Finite Gelfand pairs
    5. Distance regular graphs and the Hamming scheme
    6. The Johnson Scheme and the Laplace-Bernoulli diffusion model
    7. The ultrametric space
    Part III. Advanced theory:
    8. Posets and the q−analogs
    9. Complements on representation theory
    10. Basic representation theory of the symmetric group
    11. The Gelfand Pair (S2n, S2 o Sn) and random matchings
    Appendix 1. The discrete trigonometric transforms
    Appendix 2. Solutions of the exercises
    Bibliography
    Index.

  • Authors

    Tullio Ceccherini-Silberstein, Università degli Studi del Sannio, Benevento
    Tullio Ceccherini-Silberstein is Professor of Mathematical Analysis in the Department of Engineering at the Università del Sannio, Benevento.

    Fabio Scarabotti, Università degli Studi di Roma 'La Sapienza', Italy
    Fabio Scarabotti is Professor of Mathematical Analysis in the Department of Mathematics at the Università degli Studi di Roma 'La Sapienza'.

    Filippo Tolli, Università degli Studi Roma Tre
    Filippo Tolli is Assistant Professor of Mathematical Analysis in the Department of Mathematics at the Università Roma Tre.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

You are now leaving the Cambridge University Press website, your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Find content that relates to you

© Cambridge University Press 2014

Back to top

Are you sure you want to delete your account?

This cannot be undone.

Cancel Delete

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×