Cart

Unlocking potential with the best learning and research solutions

I want this title to be available as an eBook

The Geometry of Random Fields

$101.00 (P)

Author: Robert J. Adler, Technion - Israel Institute of Technology, Haifa

Date Published: January 2010
availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
format: Paperback
isbn: 9780898716931

Rate & review

$ 101.00 (P)
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.

Unavailable Add to wishlist

Looking for an examination copy?

This title is not currently available for examination. However, 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

Contents

Resources

Courses

About the Authors

Originally published in 1981, The Geometry of Random Fields remains an important text for its coverage and exposition of the theory of both smooth and non-smooth random fields; closed form expressions for various geometric characteristics of the excursion sets of smooth, stationary, Gaussian random fields over N-dimensional rectangles; descriptions of the local behavior of random fields in the neighborhoods of high maxima; and a treatment of the Markov property for Gaussian fields. The Geometry of Random Fields is essential reading for researchers in probability and statistics, with no prior knowledge of geometry required. Since the book was originally published it has become a standard reference in areas of physical oceanography, cosmology, and neuroimaging. It is written at a level accessible to nonspecialists, including advanced undergraduates and early graduate students.
- Self-contained classic text on the theory of smooth and non-smooth random fields
- Accessible to readers who are specialists in neither probability nor geometry
- Covers both smooth and non-smooth fields, whereas other books on the subject tend to treat only one of the two scenarios
Read more
Customer reviews

Not yet reviewed
Be the first to review

Log in 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?

Reviews must contain at least 12 words about the product.

×

Product details
- Date Published: January 2010
- format: Paperback
- isbn: 9780898716931
- length: 184 pages
- dimensions: 230 x 152 x 19 mm
- weight: 0.484kg
- availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Table of Contents
Preface to the Classics edition
Preface
Corrections and comments
1. Random fields and excursion sets
2. Homogeneous fields and their spectra
3. Sample function regularity
4. Geometry and excursion characteristics
5. Some expectations
6. Local maxima and high-level excursions
7. Some non-Gaussian fields
8. Sample function erraticism and Hausdorff dimension
Appendix. The Markov property for Gaussian fields
References
Author index
Subject index.
Author
Robert J. Adler, Technion - Israel Institute of Technology, Haifa
Robert Adler holds the Louis and Samuel Seiden Academic Chair at the Technion - Israel Institute of Technology in Haifa where he has a joint appointment between the Faculty of Industrial Engineering and Management and the Faculty of Electrical Engineering. He holds degrees from Sydney University (BSc), the Australian National University (MSc) and the University of New South Wales (PhD).