Random Fields and Geometry
Language: English
Published by Springer June 2007, 2007
- Hardcover
- Used
Seller: Magus Books Seattle, Seattle, WA, U.S.A.Magus Books Seattle
AbeBooks seller since May 18, 2004
Condition: Used - Very good
£ 55.69
Quantity: 1 available
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Seller Inventory # 1529600
- Title
- Random Fields and Geometry
- Author
- R J Adler,Jonathan Taylor
- Publisher
- Springer June 2007
- Publication year
- 2007
- Condition
- VG
- Dust jacket
- No Jacket
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0387481125
- ISBN 13
- 9780387481128
- Series
- Book 58 of 187: Springer Monographs in Mathematics
- Seller catalogs
- MATH geometry
"Synopsis" may belong to another edition of this title.
From the Back 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.
"About the title" may belong to another edition of this title.
Magus Books Seattle
Seattle, WA, U.S.A.
AbeBooks seller since May 18, 2004
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