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Stochastic Geometry: Selected Topics
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Catalogue Information
Field name
Details
Dewey Class
519.2
Title
Stochastic Geometry: Selected Topics ([EBook] /) / by Viktor Beneš, Jan Rataj.
Author
Beneš, Viktor
Added Personal Name
Rataj, Jan
author.
Other name(s)
SpringerLink (Online service)
Publication
Boston, MA : : Springer US, , 2004.
Physical Details
XI, 221 p. : online resource.
ISBN
9781402081033
Summary Note
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.:
Contents note
Preliminaries -- Random Measures and Point Processes -- Random Fibre and Surface Systems -- Vertical Sampling Schemes -- Fibre and Surface Anisotropy -- Particle Systems.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/b129604
Links to Related Works
Subject References:
Characterization and Evaluation of Materials
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Convex and Discrete Geometry
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Convex geometry
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Discrete geometry
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Materials science
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Mathematics
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Measure and Integration
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Measure theory
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Probabilities
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Probability theory and stochastic processes
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Statistics
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Statistics, general
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Authors:
Beneš, Viktor
.
Rataj, Jan
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Corporate Authors:
SpringerLink (Online service)
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Classification:
519.2
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