Random Fields and Geometry Hardcover - 2007 - 1st Edition
by R. J. Adler; Jonathan E. Taylor
From the rear cover
This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined.
The three parts to the monograph are quite distinct. Part I presents a user-friendly yet comprehensive background to the general theory of Gaussian random fields, treating classical topics such as continuity and boundedness, entropy and majorizing measures, Borell and Slepian inequalities. Part II gives a quick review of geometry, both integral and Riemannian, to provide the reader with the material needed for Part III, and to give some new results and new proofs of known results along the way. Topics such as Crofton formulae, curvature measures for stratified manifolds, critical point theory, and tube formulae are covered. In fact, this is the only concise, self-contained treatment of all of the above topics, which are necessary for the study of random fields. The new approach in Part III is devoted to the geometry of excursion sets of random fields and the related Euler characteristic approach to extremal probabilities.
"Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory. These applications, to appear in a forthcoming volume, will cover areas as widespread as brain imaging, physical oceanography, and astrophysics.
Details
- Title Random Fields and Geometry
- Author R. J. Adler; Jonathan E. Taylor
- Binding Hardcover
- Edition number 1st
- Edition 1
- Pages 454
- Volumes 1
- Language ENG
- Publisher Springer
- Date 2007-06-12
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Table of Contents
- ISBN 9780387481128 / 0387481125
- Weight 1.67 lbs (0.76 kg)
- Dimensions 9.27 x 6.36 x 1.04 in (23.55 x 16.15 x 2.64 cm)
- Library of Congress subjects Random fields, Global differential geometry
- Library of Congress Catalog Number 2007923465
- Dewey Decimal Code 519.23
More Copies for Sale
Random Fields and Geometry
by R. J. Adler
- New
- Hardcover
- Condition
- New
- Binding
- Hardcover
- ISBN 10 / ISBN 13
- 9780387481128 / 0387481125
- Quantity Available
- 128
- Seller
-
Uxbridge, Greater London, United Kingdom
- Item Price
-
A$238.67A$15.46 shipping to USA
Show Details
Random Fields and Geometry
by R.J. Adler/ Jonathan Taylor
- New
- Hardcover
- Condition
- New
- Binding
- Hardcover
- ISBN 10 / ISBN 13
- 9780387481128 / 0387481125
- Quantity Available
- 2
- Seller
-
Exeter, Devon, United Kingdom
- Item Price
-
A$317.04A$19.35 shipping to USA
Show Details
Random Fields and Geometry (Springer Monographs in Mathematics)
by Adler, R. J.; Taylor, Jonathan E
- New
- Hardcover
- Condition
- New
- Binding
- Hardcover
- ISBN 10 / ISBN 13
- 9780387481128 / 0387481125
- Quantity Available
- 1
- Seller
-
San Diego, California, United States
- Item Price
-
A$429.23A$8.30 shipping to USA