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Stochastic Geometry

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Language EnglishEnglish
Book Hardback
Book Stochastic Geometry Viktor Benes
Libristo code: 01418245
Publishers Springer-Verlag New York Inc., July 2004
Stochastic geometry, based on current developments in geometry, probability and measure theory, make... Full description
? points 132 b
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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.

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