Stochastic Geometry: Selected Topics

Author:   Viktor Benes ,  Jan Rataj
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2004
ISBN:  

9781475779394


Pages:   221
Publication Date:   21 March 2013
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Stochastic Geometry: Selected Topics


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Overview

Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand.

Full Product Details

Author:   Viktor Benes ,  Jan Rataj
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2004
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.367kg
ISBN:  

9781475779394


ISBN 10:   1475779399
Pages:   221
Publication Date:   21 March 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preliminaries.- Random Measures and Point Processes.- Random Fibre and Surface Systems.- Vertical Sampling Schemes.- Fibre and Surface Anisotropy.- Particle Systems.

Reviews

"From the reviews: ""To write a text on stochastic geometry and its applications requires that an author successfully address a number of issues involving material and audience. … Viktor Beneš and Jan Rataj have produced an interesting text which successfully addresses the challenges involved in writing such a book. ... The text will be a valuable addition to the library of those who have an interest in applications … . the authors provide interesting examples. Each chapter of the text contains a number of exercises … ."" (Patrick T. McDonald, Mathematical Reviews, 2005g)"


From the reviews: ""To write a text on stochastic geometry and its applications requires that an author successfully address a number of issues involving material and audience. … Viktor Beneš and Jan Rataj have produced an interesting text which successfully addresses the challenges involved in writing such a book. ... The text will be a valuable addition to the library of those who have an interest in applications … . the authors provide interesting examples. Each chapter of the text contains a number of exercises … ."" (Patrick T. McDonald, Mathematical Reviews, 2005g)


From the reviews: To write a text on stochastic geometry and its applications requires that an author successfully address a number of issues involving material and audience. ... Viktor Benes and Jan Rataj have produced an interesting text which successfully addresses the challenges involved in writing such a book. ... The text will be a valuable addition to the library of those who have an interest in applications ... . the authors provide interesting examples. Each chapter of the text contains a number of exercises ... . (Patrick T. McDonald, Mathematical Reviews, 2005g)


From the reviews: To write a text on stochastic geometry and its applications requires that an author successfully address a number of issues involving material and audience. ... Viktor Benes and Jan Rataj have produced an interesting text which successfully addresses the challenges involved in writing such a book. ... The text will be a valuable addition to the library of those who have an interest in applications ... . the authors provide interesting examples. Each chapter of the text contains a number of exercises ... . (Patrick T. McDonald, Mathematical Reviews, 2005g)


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