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Models of stochastic geometry ? A survey
ZOR Zeitschrift f� Operations Research Methods and Models of Operations Research, 1993Summary: This paper discusses some models of stochastic geometry which are of potential interest for operations research. These are the Boolean model, a certain model for random compact sets and marked point processes. The Boolean model is a generalization of the well-known queueing system \(M/G/\infty\).
Stoyan, Dietrich, Lippmann, Günter
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Stochastic Differential Geometry
2008Abstract The chapter further develops the theory of (non-degenerate) diffusion processes, considered as existing on an arbitrary manifold ℳ, from the point of view of stochastic differential geometry. In this description the diffusion tensor plays an essential underlying role in supplying the metrical structure of the manifold.
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Stereology and Stochastic Geometry
International Statistical Review / Revue Internationale de Statistique, 1990In the last ten years stereology has drastically changed its state, and it seems that this process will continue in the future. This applies to its practical methods as well as to its theoretical fundamentals. Thus it may be justified to publish now a further review paper on stereology in this journal, following the papers by Ripley (1984) and Jensen ...
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Introduction to Stochastic Geometry
2016This chapter introduces some of the fundamental notions from stochastic geometry. Background information from convex geometry is provided as far as this is required for the applications to stochastic geometry.
Hug, Daniel, Reitzner, M.
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Stochastic Geometry and Perception
1987Recently the concept of a proximity measure has emerged as a computational cornerstone for modelling human perception. In particular, for visual perception a proximity measure is an index defined over pairs of images that quantifies the degree to which the two objects are alike as perceived by a respondent at the particular time of measurement ...
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Stochastic geometry from the standpoint of integral geometry
Advances in Applied Probability, 1977This two-part paper surveys some recent developments in integral and stochastic geometry. Part I surveys applications of integral geometry to the theory of euclidean motion-invariant random fibrefields (a fibrefield is a collection of smooth arcs on the plane), involving marked point processes, Palm distribution theory and vertex pattern analysis. Part
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On the Stochastic Geometry of Growth
2003The pioneering book by D’Arcy Thompson, entitled “On Growth and Form” [13], was perhaps the first to consider applying (deterministic) mathematics to problems in biology, in particular those problems associated with the growth of biological objects.
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Geometro-stochastic quantization and quantum geometry
1995The most basic features of the geometro-stochastic method of quantization are outlined in the nonrelativistic and special relativistic regime. Their adaptation to the general relativistic regime leads to the replacement of the classical frame bundles, which underlie the formulation of parallel transport in classical general relativity, with quantum ...
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