2010 / xxii + 280 pages / Softcover / ISBN: 978-0-898716-93-1 / List Price $91.00 / SIAM Member Price $63.70 / Order Code CL62
Keywords: random fields, stochastic geometry, Gaussian processes, stochastic processes, random surfaces
Originally published in 1981, The Geometry of Random Fields remains an important text for its coverage and exposition of
The core audience of the book is 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.
Preface to the Classics Edition;
Corrections and Comments;
Chapter 1: Random Fields and Excursion Sets;
Chapter 2: Homogeneous Fields and Their Spectra;
Chapter 3: Sample Function Regularity;
Chapter 4: Geometry and Excursion Characteristics;
Chapter 5: Some Expectations;
Chapter 6: Local Maxima and High-Level Excursions;
Chapter 7: Some Non-Gaussian Fields;
Chapter 8: Sample Function Erraticism and Hausdorff Dimension;
Appendix: The Markov Property for Gaussian Fields;
About the Author
Robert J. Adler holds the Louis and Samuel Seiden Academic Chair at the Technion-Israel Institute of Technology in Haifa, where he has a joint appointment between the Faculty of Industrial Engineering and Management and the Faculty of Electrical Engineering. He has published extensively in a wide variety of topics in pure and applied probability.
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