Skip to content

Your Cambridge account can now be used to log into other Cambridge products and services including Cambridge One, Cambridge LMS, Cambridge GO and Cambridge Dictionary Plus

Register Sign in Wishlist

An Outline of Ergodic Theory

$72.99 (P)

Part of Cambridge Studies in Advanced Mathematics

  • Date Published: April 2010
  • availability: In stock
  • format: Hardback
  • isbn: 9780521194402

$ 72.99 (P)
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
  • This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing. Original proofs of classic theorems - including the Shannon–McMillan–Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are presented by degrees, together with helpful hints that encourage the reader to develop the proofs on their own. Hundreds of exercises and open problems are also included, making this an ideal text for graduate courses. Professionals needing a quick review, or seeking a different perspective on the subject, will also value this book.

    • Encourages readers to actively participate in the development of proofs
    • Contains original proofs of classic theorems in ergodic theory
    • Easily navigable for experts requiring only a quick review
    Read more

    Reviews & endorsements

    "The book under review is very useful. On the one hand, the way of presenting the material is intuitive; on the other hand, it enables the reader to understand ergodic theory more deeply."
    Jan Kwiatkowski, Mathematical 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: April 2010
    • format: Hardback
    • isbn: 9780521194402
    • length: 182 pages
    • dimensions: 235 x 157 x 15 mm
    • weight: 0.38kg
    • contains: 305 exercises
    • availability: In stock
  • Table of Contents

    Preface
    Introduction
    1. Measure-theoretic preliminaries
    2. Measure preserving systems, stationary processes
    3. Martingales and coupling
    4. Entropy
    5. Bernoulli transformations
    6. Ornstein isomorphism theorem
    7. Varieties of mixing
    Appendix
    References
    Index.

  • Instructors have used or reviewed this title for the following courses

    • Advanced Stochastic Process
    • Ergodic Theory
    • Statistical Machine Learning
    • information theory and coding
  • Authors

    Steven Kalikow, University of Memphis
    Steven Kalikow is a Visiting Professor in the Department of Mathematical Sciences at the University of Memphis.

    Randall McCutcheon, University of Memphis
    Randall McCutcheon is Assistant Professor in the Department of Mathematical Sciences at the University of Memphis.

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

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 ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

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.
×