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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 differential geometry

Russian Mathematical Surveys, 1983
The paper gives another exposition of what is now called ''Malliavin's stochastic calculus''. The approach is somewhat close to the Bismut's one. The results are extended to the case of diffusion processes on infinite dimensional smooth manifolds. This enables the author to construct certain quasi-invariant measures on infinite dimensional Lie groups ...
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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 Geometry and Perception

1987
Recently 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 Differential Geometry

2008
Abstract 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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Evaluating the Accuracy of Stochastic Geometry Based Models for LEO Satellite Networks Analysis

IEEE Communications Letters, 2022
, Mohamed-Slim Alouini, Ruibo Wang
exaly  

Stochastic Geometry Analysis of Spatial-Temporal Performance in Wireless Networks: A Tutorial

IEEE Communications Surveys and Tutorials, 2021
Martin Haenggi   +2 more
exaly  

Some Stochastic Geometry

1996
We begin with a review of some basic definitions and ideas from probability theory. The reader wishing a more detailed description of the tools that will be necessary can consult [43].
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Discrete stochastic geometry

2019
In der vorliegenden Arbeit werden diverse Funktionale von Zufallspolytopen untersucht. Erwartungswerte des Volumens, der innerer Volumina, der Facettenzahl und des sogenannten T-Funktionals von Beta- und Beta'-Polytopen werden explizit ermittelt. Darüber hinaus wird die strikte Monotonie des Erwartungswerts der Facettenzahl bei wachsender Punktezahl ...
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