Line-of-sight Cox percolation on Poisson–Delaunay triangulation

IF 1.1 2区 数学 Q3 STATISTICS & PROBABILITY Stochastic Processes and their Applications Pub Date : 2024-07-20 DOI:10.1016/j.spa.2024.104435
David Corlin Marchand , David Coupier , Benoît Henry
{"title":"Line-of-sight Cox percolation on Poisson–Delaunay triangulation","authors":"David Corlin Marchand ,&nbsp;David Coupier ,&nbsp;Benoît Henry","doi":"10.1016/j.spa.2024.104435","DOIUrl":null,"url":null,"abstract":"<div><p>In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. On a street system modeled by a Poisson–Delaunay triangulation (PDT), users are of two types: given either by a Cox process supported by the edges of the PDT (i.e. on streets) or by a Bernoulli process on the vertices of the PDT (i.e. at crossroads). We state several percolation regimes for the resulting connectivity graph according to the parameters of the model. This work completes and specifies results of Le Gall et al. (2021). To do it, we take advantage of a percolation tool, inspired by enhancement techniques, used to our knowledge for the first time in the context of communication networks.</p></div>","PeriodicalId":51160,"journal":{"name":"Stochastic Processes and their Applications","volume":"176 ","pages":"Article 104435"},"PeriodicalIF":1.1000,"publicationDate":"2024-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0304414924001418/pdfft?md5=cd6da38d7bb95c28156aabe9dfe31578&pid=1-s2.0-S0304414924001418-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Stochastic Processes and their Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304414924001418","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 0

Abstract

In this work, percolation properties of device-to-device (D2D) networks in urban environments are investigated. On a street system modeled by a Poisson–Delaunay triangulation (PDT), users are of two types: given either by a Cox process supported by the edges of the PDT (i.e. on streets) or by a Bernoulli process on the vertices of the PDT (i.e. at crossroads). We state several percolation regimes for the resulting connectivity graph according to the parameters of the model. This work completes and specifies results of Le Gall et al. (2021). To do it, we take advantage of a percolation tool, inspired by enhancement techniques, used to our knowledge for the first time in the context of communication networks.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
泊松-德劳内三角网上的视线考克斯渗滤
本文研究了城市环境中设备到设备(D2D)网络的渗流特性。在一个由 Poisson-Delaunay 三角剖分(PDT)建模的街道系统上,用户分为两类:一类是由 PDT 边上(即街道上)的 Cox 过程提供的,另一类是由 PDT 顶点上(即十字路口处)的 Bernoulli 过程提供的。根据模型的参数,我们为所得到的连通图描述了几种渗滤状态。这项工作完善并明确了 Le Gall 等人(2021 年)的研究成果。为此,我们利用了一种受增强技术启发的渗滤工具,据我们所知,该工具首次用于通信网络。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Stochastic Processes and their Applications
Stochastic Processes and their Applications 数学-统计学与概率论
CiteScore
2.90
自引率
7.10%
发文量
180
审稿时长
23.6 weeks
期刊介绍: Stochastic Processes and their Applications publishes papers on the theory and applications of stochastic processes. It is concerned with concepts and techniques, and is oriented towards a broad spectrum of mathematical, scientific and engineering interests. Characterization, structural properties, inference and control of stochastic processes are covered. The journal is exacting and scholarly in its standards. Every effort is made to promote innovation, vitality, and communication between disciplines. All papers are refereed.
期刊最新文献
Editorial Board Rate of escape of the conditioned two-dimensional simple random walk Wasserstein convergence rates for empirical measures of random subsequence of {nα} Nonnegativity preserving convolution kernels. Application to Stochastic Volterra Equations in closed convex domains and their approximation Correlation structure and resonant pairs for arithmetic random waves
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1