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.
Auflage
Sprache
Verlagsort
Zielgruppe
Produkt-Hinweis
Broschur/Paperback
Klebebindung
Maße
Höhe: 247 mm
Breite: 174 mm
Dicke: 19 mm
Gewicht
ISBN-13
978-0-89871-693-1 (9780898716931)
Schweitzer Klassifikation
Robert 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 holds degrees from Sydney University (BSc), the Australian National University (MSc) and the University of New South Wales (PhD).
Preface to the Classics edition; Preface; Corrections and comments; 1. Random fields and excursion sets; 2. Homogeneous fields and their spectra; 3. Sample function regularity; 4. Geometry and excursion characteristics; 5. Some expectations; 6. Local maxima and high-level excursions; 7. Some non-Gaussian fields; 8. Sample function erraticism and Hausdorff dimension; Appendix. The Markov property for Gaussian fields; References; Author index; Subject index.
