The geometry of random fields by Robert J. Adler

The geometry of random fields



Download The geometry of random fields




The geometry of random fields Robert J. Adler
Language: English
Page: 292
Format: djvu
ISBN: 0471278440, 9780471278443
Publisher: John Wiley & Sons Inc

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 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: 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.

Contents: Preface to the Classics Edition; Preface; 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; References; Author Index; Subject Index.
--This text refers to the

edition.

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.
--This text refers to the

edition.

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