Stochastic Geometry

Selected Topics

Viktor Benes, Jan Rataj (Autoren)

Buch | Hardcover

221 Seiten

2004 | 2004 ed.
Springer-Verlag New York Inc.
978-1-4020-8102-6 (ISBN)

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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.

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

Zusatzinfo	XI, 221 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	1-4020-8102-2 / 1402081022
ISBN-13	978-1-4020-8102-6 / 9781402081026
Zustand	Neuware