Random Fields and Geometry
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 w...
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| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2007.
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| Edition: | 1st ed. 2007. |
| Series: | Springer Monographs in Mathematics,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-0-387-48116-6 |
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Table of Contents:
- 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.