Stochastic Geometry: Selected Topics

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Beneš, Viktor (Συγγραφέας), Rataj, Jan (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Boston, MA : Springer US, 2004.
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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245 1 0 |a Stochastic Geometry: Selected Topics  |h [electronic resource] /  |c by Viktor Beneš, Jan Rataj. 
264 1 |a Boston, MA :  |b Springer US,  |c 2004. 
300 |a XI, 221 p.  |b online resource. 
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505 0 |a Preliminaries -- Random Measures and Point Processes -- Random Fibre and Surface Systems -- Vertical Sampling Schemes -- Fibre and Surface Anisotropy -- Particle Systems. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Measure theory. 
650 0 |a Convex geometry. 
650 0 |a Discrete geometry. 
650 0 |a Probabilities. 
650 0 |a Statistics. 
650 0 |a Materials science. 
650 1 4 |a Mathematics. 
650 2 4 |a Probability Theory and Stochastic Processes. 
650 2 4 |a Statistics, general. 
650 2 4 |a Convex and Discrete Geometry. 
650 2 4 |a Measure and Integration. 
650 2 4 |a Characterization and Evaluation of Materials. 
700 1 |a Rataj, Jan.  |e author. 
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776 0 8 |i Printed edition:  |z 9781402081026 
856 4 0 |u http://dx.doi.org/10.1007/b129604  |z Full Text via HEAL-Link 
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950 |a Mathematics and Statistics (Springer-11649)