7 edition of **Random Fields and Geometry (Springer Monographs in Mathematics)** found in the catalog.

- 41 Want to read
- 1 Currently reading

Published
**June 12, 2007**
by Springer
.

Written in English

- Geometry,
- Stochastics,
- Mathematics,
- Science/Mathematics,
- Geometry - General,
- Mathematical Physics,
- Probability & Statistics - General,
- Mathematics / Statistics

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 454 |

ID Numbers | |

Open Library | OL9382828M |

ISBN 10 | 0387481125 |

ISBN 10 | 9780387481128 |

This book provides an introduction to the theory of random fields and its applications. It includes topics from classical statistics and random field theory, spatial statistics, and statistical physics. It also explores links between random fields and Gaussian processes used in machine learning. A monograph that is devoted to a fresh approach to geometric problems arising in the study of random fields, namely, the geometry of excursion sets of random fields and the related Euler characteristic approach to extremal probabilities. Rating: (not yet rated) 0 with reviews - Be the first. Subjects.

There are no real competitors to these notes, beyond our book. Recent reprintings of Adler's `Geometry of Random Fields' () by SIAM and Vanmarke's `Random Fields: Analysis and Synthesis" () are not competitors. Both are terribly out of date. Show all benefits. Each link below goes to a course or resource page that contains the textbook files. Some of these online textbooks are open-licensed electronic versions of print books. Others are self-published online books, or course notes which are so thorough that they serve as an alternative to a conventional textbook.

Random fields are an important example of random functions (cf. Random element), which are often encountered in various applications. Some examples of random fields depending on three spatial coordinates $ x, y, z $(as well as on the time $ t $) are the fields of components of the velocity, of the pressure and of the temperature of a. Find many great new & used options and get the best deals for Springer Monographs in Mathematics Ser.: Random Fields and Geometry by Jonathan Taylor, R. J. Adler and Jonathan E. Taylor (, Trade Paperback) at the best online prices at eBay! Free shipping for many products!

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Random Fields and Geometry (Springer Monographs in Mathematics) th Edition. Random Fields and Geometry (Springer Monographs in Mathematics) th Edition. by R. Adler (Author), Jonathan E.

Taylor (Author) out of 5 stars 3 ratings. ISBN Cited by: 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 of random fields in Cited by: "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. 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. Random Fields and Geometry.

Adler, Jonathan E. Taylor. Springer Science & Business Media, - Mathematics - pages. 0 Reviews. Since the term “random?eld’’ has a variety of. The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years.

This book provides a graduate-level introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of second-order by: 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. The formal syllabus mentions: Semimartingales, stochastic integration, Ito's formula, Girsanov's theorem. Gaussian and related processes. Stationary and isotropic processes.

Integral geometry and geometric probability. Maxima of random fields and applications to spatial statistics and imaging. What we. "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.5/5(3). 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.

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 : $ Originally published inThe Geometry of Random Fields remains an important text for its coverage and exposition of.

• closed form expressions for the various geometric characteristics of the excursion sets of smooth, stationary, Gaussian random fields over N -dimensional rectangles.

Get this from a library. Random fields and geometry. [Robert J Adler; Jonathan E Taylor] -- "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.

Random fields and geometry [Ressource électronique] / Robert J. Adler, Jonathan E. Taylor. Berlin: Springer e-books, cop.

(@Springer monographs in mathematics) (ABES) Document Type: Book: All Authors / Contributors: Robert J Adler; Jonathan E Taylor. 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 1.

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. 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 in.

This book lays the foundation of aspects of the rapidly-developing subject of random fields, and is designed for a second graduate course in probability and beyond.

Its intended audience is pure, as well as applied, mathematicians. Davar Khoshnevisan is Professor of Mathematics at the University of Utah. Gaussian Markov Random Field (GMRF) models are most widely used in spatial statistics - a very active area of research in which few up-to-date reference works are available.

This is the first book on the subject that provides a unified framework of GMRFs with. Volker Schmidt (eds.) This volume is an attempt to provide a graduate level introduction to various aspects of stochastic geometry, spatial statistics and random fields, with special emphasis placed on fundamental classes of models and algorithms as well as on their applications, e.g.

in materials science, biology and genetics. This book presents an introduction to random fields (RF) in space and space-time. It can be read by anyone with undergraduate engineering/physics knowledge of probability/ by: Print book: EnglishView all editions and formats: Rating: (not yet rated) 0 with reviews - Be the first.

Subjects: Random fields. Wahrscheinlichkeit -- (Math.) Stochastischer Prozess. View all subjects; More like this: Similar Items.Note: Even if Google sent you here, what follows is NOT the book RANDOM FIELDS AND GEOMETRY published with Springer inbut 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.