Titlebook: Stochastic and Integral Geometry; R. V. Ambartzumian Book 1987 D. Reidel Publishing Company, Dordrecht, Holland 1987 Banach space.boundary

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Combinatorial Integral Geometry, Metrics, and Zonoids, integral geometry. Along with general expository material, some new concepts and results are presented, in particular the sin.-representations of breadth functions, translative versions of mean curvature integral, and the notion of 2-zonoids. The main aim is to apply these new ideas for a better un

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Stochastic Differential Geometry: An Introduction,Brownian motion on a Riemannian manifold which lends itself to constructions generalizing the classical development of smooth paths on a manifold. An introduction to this theory is given, and a survey is made of the relationship between curvature properties of the manifold and the asymptotic behavio

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Combinatorial Decompositions and Homogeneous Geometrical Processes,sion for the probabilities π.(t, α), . = 0,1,2,… to have . hits on an interval of length . taken on a ‘typical line of direction α’ (the hits are produced by other lines of the process) is obtained. Also, the distribution of a length of a ‘typical edge having direction α’ in terms of the process {..

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Randomizable Point Systems,izable with respect to the parallel translations and all motions of the .. space. It is shown how the randomizability problems are connected with questions of the theory of discrete Lie groups and regular point systems. The results are applied to the construction of stationary random line processes.

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Point Processes of Cylinders, Particles and Flats,problems of image analysis and stereology. For the estimation of geometric quantities of such fields, mean value formulas for . are important. By a systematic approach, integral geometric formulas for curvature measures are transformed into density formulas for geometric point processes. In particul

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Book 1980 sections of the planned vol­ ume(s»; for another, both the style and the content of these Lectures were tailored to a very broad social science audience -including students and teachers in anthropology, linguistics, philosophy and psychology (as well as in various applied fields like second languag

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