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Stochastic differential geometry: An introduction
Acta Applicandae Mathematicae, 1987This 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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Stochastic Geometry for Wireless Networks
2012Covering 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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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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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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Stochastic differential geometry
Russian Mathematical Surveys, 1983The 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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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 Analysis of Spatial-Temporal Performance in Wireless Networks: A Tutorial
IEEE Communications Surveys and Tutorials, 2021Martin Haenggi, Xiao Lu, Ekram Hossain
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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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Evaluating the Accuracy of Stochastic Geometry Based Models for LEO Satellite Networks Analysis
IEEE Communications Letters, 2022Mustafa Kishk +2 more
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