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Models of stochastic geometry ? A survey

ZOR Zeitschrift f� Operations Research Methods and Models of Operations Research, 1993
Summary: 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 \(M/G/\infty\).
Dietrich Stoyan, Günter Lippmann
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Stochastic Geometry and Its Applications.

Journal of the American Statistical Association, 1988
23. Stochastic Geometry and its Applications. By D. Stoyan, W. S. Kendall and J. Mecke. ISBN 0 471 90519 4. Wiley, 1987. 345p. £23.50. (Wiley Series in Probability and Mathematical Statistics. A co‐production with Akademie‐Verlag, GDR.)
B. D. Ripley   +3 more
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COMPUTER VISION AND STOCHASTIC GEOMETRY

1990
An approach from the stochastic geometry viewpoint to the problem of forming recognition feasures invariant to objects' rotations and translation is considered. Technical vision simple applied systems' structure is discussed.
Nikolai G. Fedotov, Michael E. Larin
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On the Stochastic Geometry of Growth

2003
The 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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Stochastic geometry

1992
Abstract So far we have considered random countable subsets of spaces S which have always been subsets of !Rd for some dimension d. The theory is, however, much more general, and applies to random structures which look quite different from the irregular array of isolated points depicted in Fig. 1.1.
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Stochastic differential geometry: An introduction

Acta Applicandae Mathematicae, 1987
This is a survey on the relations between asymptotic properties of semi- martingales and, in particular, of Brownian motion on a Riemannian manifold on the one hand and curvature properties of the manifold on the other hand. Following a brief description of real-valued semimartingales and of some essentials of calculus on manifolds, an introduction to ...
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Stereology and Stochastic Geometry

International Statistical Review / Revue Internationale de Statistique, 1990
In 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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Stochastic Differential Geometry

2021
Semi-martingales, bilinear forms, pull-back, covariation process, semimartingale integral, connection, chain rule, differential operators and Christoffel symbols, martingale criteria, induced connections, affine and convex maps, geodesics and martingale criteria, local drift and diffusion rates, sub-manifolds and projection, diffusions, Riemannian ...
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Introduction to Stochastic Geometry

2016
This 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 for Wireless Networks

2012
Covering point process theory, random geometric graphs and coverage processes, this rigorous introduction to stochastic geometry will enable you to obtain powerful, general estimates and bounds of wireless network performance and make good design choices for future wireless architectures and protocols that efficiently manage interference effects ...
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