Background
Adler, Robert Joseph was born on May 17, 1950 in Newcastle, New South Wales, Australia. Arrived in Israel, 1980. Son of Kurt and Bertha Adler.
(Originally published in 1981, The Geometry of Random Fiel...)
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.
http://www.amazon.com/gp/product/0898716934/?tag=2022091-20
( This monograph is devoted to a completely new approach ...)
This monograph is devoted to a completely new approach to geometric problems arising in the study of random fields. The groundbreaking material in Part III, for which the background is carefully prepared in Parts I and II, is of both theoretical and practical importance, and striking in the way in which problems arising in geometry and probability are beautifully intertwined. "Random Fields and Geometry" will be useful for probabilists and statisticians, and for theoretical and applied mathematicians who wish to learn about new relationships between geometry and probability. It will be helpful for graduate students in a classroom setting, or for self-study. Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory.
http://www.amazon.com/gp/product/0387481125/?tag=2022091-20
Adler, Robert Joseph was born on May 17, 1950 in Newcastle, New South Wales, Australia. Arrived in Israel, 1980. Son of Kurt and Bertha Adler.
Bachelor of Science with honors 1, Sydney (Australia) University, 1972. Master of Science, Australian National University, Canberra, 1973. Doctor of Philosophy, University New South Wales, Sydney, 1976.
Postdoctoral scholar Cambridge (England) University, 1976. Research scientist Commonwealth Science and Industrial Research Organization, Sydney, 1977. Queen Elizabeth fellow University New South Wales, 1978-1979.
Lecturer University New South Wales, 1978-1980. Professor probability and statistics Technion-Israel Institute of Technology, Haifa, since 1980.
(Originally published in 1981, The Geometry of Random Fiel...)
( This monograph is devoted to a completely new approach ...)
Fellow Institute of Mathematics Statistics. Member Bernoulli Society for Mathematics Statistics and Probability (council member 1985-1989).
Married Joan Litthauer, April 1, 1971. Children: Ariella, Tamar.