| 书目名称 | Random Fields and Geometry | | 编辑 | Robert J. Adler,Jonathan E. Taylor | | 视频video | | | 概述 | Recasts old topics in random fields by following a completely new way of handling both geometry and probability.Significant exposition of the work of others in the field.Excellent reference work as we | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | Since the term “random ?eld’’ has a variety of different connotations, ranging from agriculture to statistical mechanics, let us start by clarifying that, in this book, a random ?eld is a stochastic process, usually taking values in a Euclidean space, and de?ned over a parameter space of dimensionality at least 1. Consequently, random processes de?ned on countable parameter spaces will not 1 appear here. Indeed, even processes on R will make only rare appearances and, from the point of view of this book, are almost trivial. The parameter spaces we like best are manifolds, although for much of the time we shall require no more than that they be pseudometric spaces. With this clari?cation in hand, the next thing that you should know is that this book will have a sequel dealing primarily with applications. In fact, as we complete this book, we have already started, together with KW (Keith Worsley), on a companion volume [8] tentatively entitled RFG-A,or Random Fields and Geometry: Applications. The current volume—RFG—concentrates on the theory and mathematical background of random ?elds, while RFG-A is intended to do precisely what its title promises. Once the companion volume is publ | | 出版日期 | Book 2007 | | 关键词 | Area; Gaussian process; Volume; astrophysics; differential geometry; geometry; probability | | 版次 | 1 | | doi | https://doi.org/10.1007/978-0-387-48116-6 | | isbn_softcover | 978-1-4419-2369-1 | | isbn_ebook | 978-0-387-48116-6Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag New York 2007 |
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发表于 2025-3-21 16:14:25
