1 edition of **The geometry of random fields** found in the catalog.

The geometry of random fields

Robert J. Adler

- 149 Want to read
- 24 Currently reading

Published
**2010**
by Society for Industrial and Applied Mathematics in Philadelphia
.

Written in English

**Edition Notes**

Statement | Robert J. Adler |

Classifications | |
---|---|

LC Classifications | QA274.45 .A34 2010 |

The Physical Object | |

Pagination | xxi, 280 p. ; |

Number of Pages | 280 |

ID Numbers | |

Open Library | OL24547404M |

ISBN 10 | 9780898716931 |

LC Control Number | 2009040876 |

This book gives a comprehensive introduction to numerical methods and analysis of stochastic processes, random fields and stochastic differential equations, and offers graduate students and researchers powerful tools for understanding uncertainty quantification for risk analysis. R. J., Adler (), The Geometry of Random Fields. PROBABILITY, RANDOM FIELDS, AND GEOMETRY IN STATISTICAL PHYSICS ABSTRACT: We will be looking at models that arise in critical phenomena in statistical physics. The general framework is that there is a collection of sites and there is a random \ eld" de .

Note: Even if Google sent you here, what follows is NOT the book RANDOM FIELDS AND GEOMETRY published with Springer in , but rather a companion volume, still under production, that gives a simpler version of the theory of the rst book as well as lots of applications. You can nd the original Random Fields and Geometry on the Springer site. Product Information. 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.

Presenting new theoretical and applied results, with particular emphasis on space-time determination and interpretation, spatiotemporal analysis and modeling, random field geometry, random functionals, probability law, and covariance construction techniques, this book highlights the key role of space-time metrics, the physical interpretation of. This volume provides a modern introduction to stochastic geometry, random fields and spatial statistics at a (post)graduate level. It is focused on asymptotic methods in geometric probability including weak and strong limit theorems for random spatial structures (point processes, sets, graphs, fields) with applications to statistics.

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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 by: The Geometry of Random Fields Hardcover See all formats and editions Hide other formats and editions.

Price New from Used from Hardcover "Please retry" — — — Hardcover — Anil K. Gupta, Vijay Govindarajan, and Haiyan Wang are among the most distinguished experts in the field Format: Hardcover.

Originally published inThe 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 the 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.

Originally published inThe 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 of5/5.

The purpose of this book is to collect within one cover most of the contents of the substantial literature devoted to the sample function analysis of random fields, including a reasonably full and self-contained account of the geometry needed for its understanding.

While working on this book I tried to write with two readers in mind. 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.5/5(1). Originally published inThe 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 geometry of random fields Wiley series in probability and mathematical statistics. Probability and mathematical statistics Wiley series in probability and mathematical statistics WILEY SERIES in PROBABILITY and STATISTICS: PROBABILITY and STATISTICS SECTION Series Probability and Statistics Series: Author: Robert J.

Adler: Edition. 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.

Buy Random Fields and Geometry (Springer Monographs in Mathematics) by Adler, R. J., Taylor, Jonathan E. (ISBN: ) from Amazon's Book Store. Everyday low prices and free delivery on eligible s: 2.

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. This paper is an attempt to encourage the reader to take a serious look at the study of Gaussian random fields on Riemannian manifolds.

To do so,it describes the intrinsic interest of the area,a. Random fields and excursion sets --Homogeneous fields and their spectra --Sample function regularity --Geometry and excursion characteristics --Some expectations --Local maxima and high-level excursions --Some non-Gaussian fields --Sample function erraticism and Hausdorff dimension, Series Title: Probability and mathematical statistics.

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.

RANDOM FIELDS AND GEOMETRY from the book of the same name by Robert Adler and Jonathan Taylor IE&M, Technion, Israel, We cannot avoid geometry The result: dimXM j l=0 " j+l l # (2ˇ) j=2L j+l(M)M (k) l DF;u Gaussian random variables.

This is the only place in which all these topics, necessary for the study of random fields can be found in a concise, self-contained, treatment. The most important part of the book is in Part III, which is about the geometry of excursion sets of random fields and the related - Euler characteristic approach - to extremal probabilities.

The geometry of random fields. [Robert J Adler] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library. Create Book: All Authors / Contributors: Robert J Adler.

Find more information about: ISBN: OCLC Number: Notes. Random Fields and Geometry by R.J. Adler,available at Book Depository with free delivery worldwide. adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86ACited by: 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."R.

In mathematics, stochastic geometry is the study of random spatial patterns. At the heart of the subject lies the study of random point patterns. This leads to the theory of spatial point processes, hence notions of Palm conditioning, which extend to the more abstract setting of random measures.

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 : $Random Fields and Geometry PDF PDF 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 Consequently, random processes de?ned on.