Random Fields and Geometry (Record no. 425434)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04610nam a22005775i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9780387481166 |
| -- | 978-0-387-48116-6 |
| 024 7# - | |
| -- | 10.1007/978-0-387-48116-6 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA273.A1-274.9 |
| 050 #4 - | |
| -- | QA274-274.9 |
| 072 #7 - | |
| -- | PBT |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT029000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBT |
| -- | thema |
| 072 #7 - | |
| -- | PBWL |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 519.2 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Adler, Robert J. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Random Fields and Geometry |
| Medium | [electronic resource] / |
| Statement of responsibility, etc | by Robert J. Adler, Jonathan E. Taylor. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | New York, NY : |
| Name of producer, publisher, distributor, manufacturer | Springer New York, |
| Date of production, publication, distribution, manufacture | 2007. |
| 300 ## - | |
| -- | XVIII, 454 p. 21 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Springer Monographs in Mathematics, |
| -- | 1439-7382 |
| 505 0# - | |
| -- | Gaussian Processes -- Gaussian Fields -- Gaussian Inequalities -- Orthogonal Expansions -- Excursion Probabilities -- Stationary Fields -- Geometry -- Integral Geometry -- Differential Geometry -- Piecewise Smooth Manifolds -- Critical Point Theory -- Volume of Tubes -- The Geometry of Random Fields -- Random Fields on Euclidean Spaces -- Random Fields on Manifolds -- Mean Intrinsic Volumes -- Excursion Probabilities for Smooth Fields -- Non-Gaussian Geometry. |
| 520 ## - | |
| -- | 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. |
| 650 #0 - | |
| -- | Distribution (Probability theory. |
| 650 #0 - | |
| -- | Statistics. |
| 650 #0 - | |
| -- | Geometry. |
| 650 #0 - | |
| -- | Mathematical physics. |
| 650 14 - | |
| -- | Probability Theory and Stochastic Processes. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M27004 |
| 650 24 - | |
| -- | Statistics, general. |
| -- | http://scigraph.springernature.com/things/product-market-codes/S0000X |
| 650 24 - | |
| -- | Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21006 |
| 650 24 - | |
| -- | Mathematical Methods in Physics. |
| -- | http://scigraph.springernature.com/things/product-market-codes/P19013 |
| 700 1# - | |
| -- | Taylor, Jonathan E. |
| -- | author. |
| -- | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387564470 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9781441923691 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9780387481128 |
| 830 #0 - | |
| -- | Springer Monographs in Mathematics, |
| -- | 1439-7382 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-0-387-48116-6 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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