The Geometry of Random Fields
Author | : Robert J. Adler |
Publisher | : SIAM |
Total Pages | : 296 |
Release | : 1981-01-01 |
ISBN-10 | : 9780898718980 |
ISBN-13 | : 0898718988 |
Rating | : 4/5 (80 Downloads) |
Book excerpt: Originally published in 1981, The Geometry of Random Fields remains an important text for its coverage and exposition of the theory of both smooth and nonsmooth random fields; closed form expressions for the various geometric characteristics of the excursion sets of smooth, stationary, Gaussian random fields over N-dimensional rectangles; descriptions of the local behavior of random fields in the neighborhoods of high maxima; and a treatment of the Markov property for Gaussian fields. Audience: researchers in probability and statistics, with no prior knowledge of geometry required. Since the book was originally published it has become a standard reference in areas of physical oceanography, cosmology, and neuroimaging. It is written at a level accessible to nonspecialists, including advanced undergraduates and early graduate students.