The Geometry of Random Fields (In Applied Mathematics)

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9780898716931: The Geometry of Random Fields (In Applied Mathematics)

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.

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Book Description:

An important treatment of the geometric properties of sets generated by random fields, including a comprehensive treatment of the mathematical basics of random fields in general. It is a standard reference for all researchers with an interest in random fields, whether they be theoreticians or come from applied areas.

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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Robert J. Adler
Editorial: Society for Industrial Applied Mathematics,U.S., United States (2010)
ISBN 10: 0898716934 ISBN 13: 9780898716931
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2010. Paperback. Estado de conservación: New. Siam ed.. Language: English . Brand New Book. 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 non-smooth 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. The Geometry of Random Fields is essential reading for 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. Nº de ref. de la librería AAN9780898716931

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Adler, Robert J.
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Descripción Society for Industrial and Applied Mathematics, 2010. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería CE-9780898716931

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Robert J. Adler
Editorial: Society for Industrial Applied Mathematics,U.S., United States (2010)
ISBN 10: 0898716934 ISBN 13: 9780898716931
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Descripción Society for Industrial Applied Mathematics,U.S., United States, 2010. Paperback. Estado de conservación: New. Siam ed.. Language: English . Brand New Book. 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 non-smooth 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. The Geometry of Random Fields is essential reading for 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. Nº de ref. de la librería AAN9780898716931

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ROBERT J. ADLER
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Descripción Soc Industrial Applied Maths, 2009. Paperback. Estado de conservación: NEW. 9780898716931 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. Nº de ref. de la librería HTANDREE0484216

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Descripción SIAM-Society for Industrial and Applied Mathematics, 2009. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0898716934

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Descripción Society for Industrial & Applied, 2010. Paperback. Estado de conservación: Brand New. siam ed. edition. 302 pages. 9.00x6.00x0.75 inches. In Stock. Nº de ref. de la librería __0898716934

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Descripción SIAM-Society for Industrial and Applied Mathematics, 2009. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0898716934

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Descripción SIAM-Society for Industrial an, 2009. Paperback. Estado de conservación: New. Never used!. Nº de ref. de la librería P110898716934

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