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We determine the large size limit of a network of interacting Hawkes Processes on an adaptive network. The flipping of the node variables is taken to have an intensity given by the mean-field of the afferent edges and nodes. The flipping of…

Probability · Mathematics 2024-11-15 James MacLaurin

We examine the heterogeneous responses of individual nodes in sparse networks to the random removal of a fraction of edges. Using the message-passing formulation of percolation, we discover considerable variation across the network in the…

Statistical Mechanics · Physics 2017-09-13 Reimer Kuehn , Tim Rogers

When modeling network data using a latent position model, it is typical to assume that the nodes' positions are independently and identically distributed. However, this assumption implies the average node degree grows linearly with the…

Statistics Theory · Mathematics 2025-01-07 Neil A. Spencer , Cosma Rohilla Shalizi

In a multihop wireless network, wireless interference is crucial to the maximum multiflow (MMF) problem, which studies the maximum throughput between multiple pairs of sources and sinks. In this paper, we observe that network coding could…

Information Theory · Computer Science 2012-02-15 Jin-Yi Zhou , Shu-Tao Xia , Yong Jiang , Hai-Tao Zheng

The analytical characterization of coverage probability in finite three-dimensional wireless networks has long remained an open problem, hindered by the loss of spatial independence in finite-node settings and the coupling between link…

Networking and Internet Architecture · Computer Science 2025-11-03 Yunfeng Jiang , Zhiming Huang , Jianping Pan

In this paper we propose a computational framework for the investigation of the correlated motion between positive and negative ions exposed to the attraction of a bubble surface that mimics the (oscillating) cell membrane. The correlated…

Computational Physics · Physics 2022-03-14 Antonio Raudino , Antonio Grassi , Giuseppe Lombardo , Giovanni Russo , Clarissa Astuto , Mario Corti

In this paper, we investigate the uplink transmission performance of low-power wide-area (LPWA) networks with regards to coexisting radio modules. We adopt long range (LoRa) radio technique as an example of the network of focus even though…

Information Theory · Computer Science 2019-06-03 Zhijin Qin , Yuanwei Liu , Geoffrey Ye Li , Julie A. McCann

This paper analyzes the outage performance in finite wireless networks. Unlike most prior works, which either assumed a specific network shape or considered a special location of the reference receiver, we propose two general frameworks for…

Information Theory · Computer Science 2016-08-19 Jing Guo , Salman Durrani , Xiangyun Zhou

We propose an optimal destination scheduling scheme to improve the physical layer security (PLS) of a power-line communication (PLC) based Internet-of-Things system in the presence of an eavesdropper. We consider a pinhole (PH) architecture…

Information Theory · Computer Science 2023-06-07 Chinmoy Kundu , Ankit Dubey , Andrea M. Tonello , Arumugam Nallanathan , Mark F. Flanagan

In an uncoordinated network, the link performance between the devices might degrade significantly due to the interference from other links in the network sharing the same spectrum. As a solution, in this study, the concept of partially…

Information Theory · Computer Science 2016-11-17 Alphan Sahin , Erdem Bala , Ismail Guvenc , Rui Yang , Huseyin Arslan

We provide a tight approximate characterization of the $n$-dimensional product multicommodity flow (PMF) region for a wireless network of $n$ nodes. Separate characterizations in terms of the spectral properties of appropriate network…

Information Theory · Computer Science 2016-11-17 Ritesh Madan , Devavrat Shah , Olivier Leveque

Temporal networks are characterised by interdependent link events between nodes, forming ordered sequences of links that may represent specific information flows in the system. Nevertheless, representing temporal networks using discrete…

Social and Information Networks · Computer Science 2025-01-30 Yuwei Zhu , Paolo Barucca

This chapter provides an introduction to Hybrid High-Order (HHO) methods. These are new generation numerical methods for PDEs with several advantageous features: the support of arbitrary approximation orders on general polyhedral meshes,…

Numerical Analysis · Mathematics 2017-04-21 Daniele A. Di Pietro , Roberta Tittarelli

In this paper we provide converge rates for the homogenization of the Poisson problem with Dirichlet boundary conditions in a randomly perforated domain of $\mathbb{R}^d$, $d \geq 3$. We assume that the holes that perforate the domain are…

Analysis of PDEs · Mathematics 2020-07-28 Arianna Giunti

In this paper, we consider an underlay radar-massive MIMO spectrum sharing scenario in which massive MIMO base stations (BSs) are allowed to operate outside a circular exclusion zone centered at the radar. Modeling the locations of the…

Networking and Internet Architecture · Computer Science 2019-07-24 Raghunandan M. Rao , Harpeet S. Dhillon , Vuk Marojevic , Jeffrey H. Reed

Recently, stochastic geometry has been applied to provide tractable performance analysis for low earth orbit (LEO) satellite networks. However, existing works mainly focus on analyzing the ``coverage probability'', which provides limited…

Information Theory · Computer Science 2023-07-06 Yanshi Sun , Zhiguo Ding

Recent research has demonstrated the importance of boundary effects on the overall connection probability of wireless networks, but has largely focused on convex domains. We consider two generic scenarios of practical importance to wireless…

Information Theory · Computer Science 2014-03-06 Mohammud Z. Bocus , Carl P. Dettmann , Justin P. Coon , Mohammed R. Rahman

Multivariate Hawkes Processes (MHPs) are an important class of temporal point processes that have enabled key advances in understanding and predicting social information systems. However, due to their complex modeling of temporal…

Machine Learning · Computer Science 2020-03-02 Maximilian Nickel , Matthew Le

This paper addresses an interference channel consisting of $\mathbf{n}$ active users sharing $u$ frequency sub-bands. Users are asynchronous meaning there exists a mutual delay between their transmitted codes. A stationary model for…

Information Theory · Computer Science 2010-06-17 Kamyar Moshksar , Amir K. Khandani

Interference coordination improves data rates and reduces outages in cellular networks. Accurately evaluating the gains of coordination, however, is contingent upon using a network topology that models realistic cellular deployments. In…

Information Theory · Computer Science 2015-06-11 Salam Akoum , Robert W. Heath
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