文章基本信息

标题：Signal-to-interference ratio percolation for Cox point processes
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作者：András Tóbiás
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2020
卷号：17
期号：1
页码：273
DOI：10.30757/ALEA.v17-11
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We study the signal-to-interference ratio (SINR) percolation model for a stationary Cox point process in two or higher dimensions, in case of a bounded and integrable path-loss function. We show that if this function has compact support or if the stationary intensity measure evaluated at a unit box has some exponential moments, then the SINR graph has an infinite connected component in case the spatial density of points is large enough and the interferences are sufficiently reduced (without vanishing). This holds under suitable stabilization and connectivity assumptions on the intensity measure. We also provide estimates on the critical interference cancellation factor.
其他关键词：Signal-to-interference ratio, Cox processes, continuum percolation, Gilbert graph, Boolean model, stabilization, Poisson–Voronoi tessellation, Poisson–Delaunay tessellation, exponential moments.