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The Low Earth Orbit (LEO) satellite industry is undergoing rapid expansion, with operators competitively launching satellites due to the first-come, first-served principle governing orbital rights. This has led to the formation of…

Information Theory · Computer Science 2025-11-04 Seyong Kim , Jinseok Choi , Namyoon Lee , François Baccelli , Jeonghun Park

We study the flow-level performance of random wireless networks. The locations of base stations (BSs) follow a Poisson point process. The number and positions of active users are dynamic. We associate a queue to each BS. The performance and…

Information Theory · Computer Science 2013-08-23 Richard Combes , Eitan Altman

In our basic model, we study a stationary Poisson pattern of nodes on a line embedded in an independent planar Poisson field of interfering nodes. Assuming slotted Aloha and the signal-to-interference-and-noise ratio capture condition, with…

Networking and Internet Architecture · Computer Science 2015-03-20 Bartlomiej Blaszczyszyn , Paul Muhlethaler

This article presents a biological neural network model driven by inhomogeneous Poisson processes accounting for the intrinsic randomness of synapses. The main novelty is the introduction of local interactions: each firing neuron triggers…

Probability · Mathematics 2021-08-17 Maximiliano Altamirano , Roberto Cortez , Matthieu Jonckheere , Lasse Leskelä

Many network architectures exist for learning on meshes, yet their constructions entail delicate trade-offs between difficulty learning high-frequency features, insufficient receptive field, sensitivity to discretization, and inefficient…

Graphics · Computer Science 2025-10-17 Arman Maesumi , Tanish Makadia , Thibault Groueix , Vladimir G. Kim , Daniel Ritchie , Noam Aigerman

We develop a model in which interactions between nodes of a dynamic network are counted by non homogeneous Poisson processes. In a block modelling perspective, nodes belong to hidden clusters (whose number is unknown) and the intensity…

Machine Learning · Statistics 2017-07-11 Marco Corneli , Pierre Latouche , Fabrice Rossi

Achieving seamless global coverage is one of the ultimate goals of space-air-ground integrated network, as a part of which High Altitude Platform (HAP) network can provide wide-area coverage. However, deploying a large number of HAPs will…

Information Theory · Computer Science 2023-06-09 Zhiqing Wei , Lin Wang , Zhan Gao , Huici Wu , Ning Zhang , Kaifeng Han , Zhiyong Feng

Accurate wireless localization underpins applications from autonomous systems to smart infrastructure. We study the mean-squared error (MSE) and conditional MSE (CMSE) of a practical fusion-based estimator in d-dimensional, stationary…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Mengqi Ma , Aihua Xia

Stochastic geometry models of wireless networks based on Poisson point processes are increasingly being developed with a focus on studying various signal-to-interference-plus-noise ratio (SINR) values. We show that the SINR values…

Probability · Mathematics 2014-08-05 Holger Paul Keeler , Bartlomiej Blaszczyszyn

We consider the point process of signal strengths emitted from transmitters in a wireless network and observed at a fixed position. In our model, transmitters are placed deterministically or randomly according to a hard core or Poisson…

Networking and Internet Architecture · Computer Science 2016-10-04 Nathan Ross , Dominic Schuhmacher

To understand the spatial deployment of base stations (BSs) is the first step to analyze the performance of cellular networks and further design efficient networking protocols. Poisson point process (PPP), which has been widely adopted to…

Information Theory · Computer Science 2018-11-20 Rongpeng Li , Zhifeng Zhao , Yi Zhong , Chen Qi , Honggang Zhang

We introduce a fundamental lemma called the Poisson matching lemma, and apply it to prove one-shot achievability results for various settings, namely channels with state information at the encoder, lossy source coding with side information…

Information Theory · Computer Science 2021-09-21 Cheuk Ting Li , Venkat Anantharam

Modeling count data is important in physics and other scientific disciplines, where measurements often involve discrete, non-negative quantities such as photon or neutrino detection events. Traditional parametric approaches can be trained…

Data Analysis, Statistics and Probability · Physics 2026-02-10 Anushka Saha , Abhijith Gandrakota , Alexandre V. Morozov

This letter gives approximations to an integral appearing in the formula for downlink coverage probability of a typical user in Poisson point process (PPP) based stochastic geometry frameworks of the form $\int_0^\infty \exp\{ - (Ax + B…

Information Theory · Computer Science 2015-10-13 Sudarshan Guruacharya , Hina Tabassum , Ekram Hossain

We introduce a new way to sample inhomogeneous random graphs designed to have a lot of flexibility in the assignment of the degree sequence and the individual edge probabilities while remaining tractable. To achieve this we run a Poisson…

Probability · Mathematics 2020-03-03 Lorenzo Federico

In a Poisson Point Process (PPP) network model, in which the locations of Base Stations (BSs) are randomly distributed according to a Spatial Poisson Process, has been recently used as a tractable stochastic model to analyse the performance…

Information Theory · Computer Science 2016-06-21 Sinh Cong Lam , Kumbesan Sandrasegaran

This paper defines a new model which incorporates three key ingredients of a large class of wireless communication systems: (1) spatial interactions through interference, (2) dynamics of the queueing type, with users joining and leaving,…

Information Theory · Computer Science 2026-04-15 François Baccelli , Ke Feng , Sergey Foss

Under different assumptions on the distribution of the fading random variables, we derive large deviation estimates for the tail of the interference in a wireless network model whose nodes are placed, over a bounded region of the plane,…

Information Theory · Computer Science 2014-01-23 Giovanni Luca Torrisi , Emilio Leonardi

We investigate a spatial random graph model whose vertices are given as a marked Poisson process on $\mathbb{R}^d$. Edges are inserted between any pair of points independently with probability depending on the spatial displacement of the…

Probability · Mathematics 2025-03-25 Matthew Dickson , Markus Heydenreich

Recent works have shown that the contact process running on the top of highly heterogeneous random networks is described by the heterogeneous mean-field theory. However, some important aspects as the transition point and strong corrections…

Statistical Mechanics · Physics 2014-05-08 Angélica S. Mata , Ronan S. Ferreira , Silvio C. Ferreira