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Stochastic Geometry for Automotive Radar Interference With RCS Characteristics
IEEE Wireless Communications Letters, 2020With the widespread application of millimeter-wave (mmWave) radar technology in modern vehicles, vehicle-to-vehicle radar interference becomes a significant concern in exploiting the benefits of mmWave radar.
Zixi Fang+4 more
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Stochastic Differential Geometry
2021Semi-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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UAV-to-Everything (U2X) Networks Relying on NOMA: A Stochastic Geometry Model
IEEE Transactions on Vehicular Technology, 2020This article mainly focus on addressing the non-orthogonal multiple access (NOMA) enhanced unmanned aerial vehicle (UAV)-to-Everything (U2X) networks. A novel three dimension (3D) network for providing wireless services to randomly roaming NOMA receivers
Tianwei Hou+4 more
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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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Storm processes and stochastic geometry
Extremes, 2010This paper is devoted to a prototype of max-stable models called the storm process. At first its spatial distribution is given in association with different observation supports. Then the compatibility relationships between extremal coefficients at various supports are completely characterized. Particular attention is paid to the special case where the
Lantuéjoul, Christian+2 more
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Stochastic differential geometry
Russian Mathematical Surveys, 1983CONTENTS Introduction § 1. The canonical Gaussian measure. Integration by parts § 2. Stochastic integrals and Ito equations in a Hilbert space § 3. Smoothness of transition probabilities for an equation in a Hilbert space § 4.
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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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Stochastic differential geometry: An introduction
Acta Applicandae Mathematicae, 1987Stochastic calculus can be used to provide a satisfactory theory of random processes on differentiable manifolds and, in particular, a description of Brownian motion on a Riemannian manifold which lends itself to constructions generalizing the classical development of smooth paths on a manifold.
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Stochastic cooling in confined geometries
Journal of the Optical Society of America B, 2003The implementation of stochastic cooling in a confined geometry is discussed, where the boundary shape is found to be an independent control parameter for arriving at a variety of final spatial and momentum distributions. Results for integrable and nonintegrable geometries are contrasted in terms of both efficiency of cooling and mechanisms for ...
Bala Sundaram+2 more
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