Random Fields and Geometry


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It will be helpful for graduate students in a classroom setting, or for self-study.

Random Fields and Geometry (e-bok) | R. J. Adler | ARK Bokhandel

Finally, this text will serve as a basic reference for all those interested in the companion volume of the applications of the theory. A thorough presentation of this problem is the main goal of the book under review, as is stated by the authors in its preface.


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The book is divided into three parts. Part I is devoted to the presentation of the necessary tools of Gaussian processes and fields.

ISBN 13: 9780898716931

Part II concisely exposes the required prerequisites of integral and differential geometry. Finally, in part III, the kernel of the book, a formula for the expectation of the Euler characteristic function of an excursion set and its approximation to the distribution of the maxima of the field, is precisely established.

The book is written in an informal style, which affords a very pleasant reading. Each chapter begins with a presentation of the matters to be addressed, and the footnotes, located throughout the text, serve as an indispensable complement and many times as historical references. The authors insist on the fact that this book should not only be considered as a theoretical adventure and they recommend a second volume where they develop indispensable applications which highlight all the power of their results.

Random fields and geometry

Jose Rafael Leon for Mathematical Reviews This book presents the modern theory of excursion probabilities and the geometry of excursion sets for The book is understandable for students Or browse results titled :. Moor Mother Philadelphia, Pennsylvania.

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