Rolf Schneider

(Author)

Stochastic and Integral Geometry (2008)Hardcover - 2008, 8 September 2008

Stochastic and Integral Geometry (2008)
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Part of Series
Probability and Its Applications
Part of Series
Probability and Its Applications (Springer)
Print Length
694 pages
Language
English
Publisher
Springer
Date Published
8 Sep 2008
ISBN-10
3540788581
ISBN-13
9783540788584

Description

Stochastic geometry deals with models for random geometric structures. Its early beginnings are found in playful geometric probability questions, and it has vigorously developed during recent decades, when an increasing number of real-world applications in various sciences required solid mathematical foundations. Integral geometry studies geometric mean values with respect to invariant measures and is, therefore, the appropriate tool for the investigation of random geometric structures that exhibit invariance under translations or motions. Stochastic and Integral Geometry provides the mathematically oriented reader with a rigorous and detailed introduction to the basic stationary models used in stochastic geometry - random sets, point processes, random mosaics - and to the integral geometry that is needed for their investigation. The interplay between both disciplines is demonstrated by various fundamental results. A chapter on selected problems about geometric probabilities and an outlook to non-stationary models are included, and much additional information is given in the section notes.

Product Details

Authors:
Rolf SchneiderWolfgang Weil
Book Edition:
2008
Book Format:
Hardcover
Country of Origin:
DE
Date Published:
8 September 2008
Dimensions:
23.88 x 16.26 x 4.57 cm
ISBN-10:
3540788581
ISBN-13:
9783540788584
Language:
English
Location:
Berlin, Heidelberg
Pages:
694
Publisher:
Weight:
1156.66 gm

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