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Random Fields and Geometry

Robert J. Adler and Jonathan E. Taylor
Publisher: 
Springer Verlag
Publication Date: 
2007
Number of Pages: 
448
Format: 
Hardcover
Series: 
Springer Monographs in Mathematics
Price: 
69.95
ISBN: 
9780387481128
Category: 
Monograph
We do not plan to review this book.

Preface.- Part I. Gaussian Processes. Gaussian Fields. Gaussian Inequalities. Orthogonal Expansions. Excursion Probabilities. Stationary Fields.- Parat II. Geometry. Integral Geometry. Differential Geometry. Piecewise Smooth Manifolds. Critical Point Theory. Volume of Tubes.- Part III. 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.- References.- Index.