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Percolation in complex networks is viewed as both: a process that mimics network degradation and a tool that reveals peculiarities of the underlying network structure. During the course of percolation, networks undergo non-trivial…

Physics and Society · Physics 2019-02-05 Ivan Kryven

Let each point of a homogeneous Poisson process in R^d independently be equipped with a random number of stubs (half-edges) according to a given probability distribution mu on the positive integers. We consider translation-invariant schemes…

Probability · Mathematics 2015-05-18 Maria Deijfen , Olle Haggstrom , Alexander E. Holroyd

Detecting intrusions in network traffic is a challenging task, particularly under limited supervision and constantly evolving attack patterns. While recent works have leveraged graph neural networks for network intrusion detection, they…

Machine Learning · Computer Science 2025-12-23 Lorenzo Guerra , Thomas Chapuis , Guillaume Duc , Pavlo Mozharovskyi , Van-Tam Nguyen

We give a general existence and convergence result for interacting particle systems on locally finite graphs with possibly unbounded degrees or jump rates. We allow the local state space to be Polish, and the jumps at a site to affect the…

Probability · Mathematics 2026-01-15 Kuldeep Guha Mazumder

We study the number of isolated nodes in a soft random geometric graph whose vertices constitute a Poisson process on the torus of length L (the line segment [0,L] with periodic boundary conditions), and where an edge is present between two…

Probability · Mathematics 2022-10-21 Michael Wilsher , Carl Dettmann , Ayalvadi Ganesh

In a recent Letter, Yang et al. [Phys. Rev. Lett. 109, 258701 (2012)] introduced the concept of observability transitions: the percolation-like emergence of a macroscopic observable component in graphs in which the state of a fraction of…

Statistical Mechanics · Physics 2014-02-11 Antoine Allard , Laurent Hébert-Dufresne , Jean-Gabriel Young , Louis J. Dubé

Sensing privacy and communication confidentiality play fundamentally different but interconnected roles in adversarial wireless environments. Capturing this interplay within a single physical-layer framework is particularly challenging in…

Information Theory · Computer Science 2026-05-11 Sidong Guo , Matthieu R. Bloch

The entangled graph states have emerged as an elegant and powerful quantum resource, indeed almost all multiparty protocols can be written in terms of graph states including measurement based quantum computation (MBQC), error correction and…

Quantum Physics · Physics 2009-11-13 Elham Kashefi , Damian Markham , Mehdi Mhalla , Simon Perdrix

Semi-transitive graphs, defined in \cite{hps98} as examples where ``uniform percolation" holds whenever $p>p_c$, are a large class of graphs more general than quasi-transitive graphs. Let $G$ be a semi-transitive graph with one end which…

Combinatorics · Mathematics 2023-07-21 Zhongyang Li

We study fundamental characteristics for the connectivity of multi-hop D2D networks. Devices are randomly distributed on street systems and are able to communicate with each other whenever their separation is smaller than some connectivity…

Networking and Internet Architecture · Computer Science 2018-02-01 Elie Cali , Nila Novita Gafur , Christian Hirsch , Benedikt Jahnel , Taoufik En-Najjary , Robert I. A. Patterson

Industrial control systems (ICS) are managed remotely with the help of dedicated protocols that were originally designed to work in walled gardens. Many of these protocols have been adapted to Internet transport and support wide-area…

Networking and Internet Architecture · Computer Science 2020-04-24 Marcin Nawrocki , Thomas C. Schmidt , Matthias Wählisch

We establish lower and upper bounds for the identification capacity of discrete-time Gaussian channels subject to inter-symbol interference (ISI), a canonical model in wireless communication. Our analysis accounts for deterministic encoders…

Information Theory · Computer Science 2026-05-04 Mohammad Javad Salariseddigh , Christian Deppe

Along with the development of intelligent manufacturing, especially with the high connectivity of the industrial control system (ICS), the network security of ICS becomes more important. And in recent years, there has been much research on…

Cryptography and Security · Computer Science 2023-08-08 Yang Li , Shihao Wu , Quan Pan

Many real-world infrastructures, from sensor and road networks to power grids, are spatially embedded and anisotropic, with constraints on the maximum number of links each node can establish. Such systems can be represented as anisotropic…

Bootstrap percolation in (random) graphs is a contagion dynamics among a set of vertices with certain threshold levels. The process is started by a set of initially infected vertices, and an initially uninfected vertex with threshold $k$…

Probability · Mathematics 2022-11-03 Nils Detering , Jimin Lin

In this paper, an intelligent reflecting surface (IRS) is leveraged to enhance the physical layer security of an integrated sensing and communication (ISAC) system in which the IRS is deployed to not only assist the downlink communication…

Information Theory · Computer Science 2022-07-20 Meng Hua , Qingqing Wu , Wen Chen , Octavia A. Dobre , A. Lee Swindlehurst

Correlations are known to play a crucial role in determining the structure of complex networks. Here we study how their presence affects the computation of the percolation threshold in random hypergraphs. In order to mimic the correlation…

Disordered Systems and Neural Networks · Physics 2009-07-20 Serena Bradde , Ginestra Bianconi

We present a mathematical model for communication subject to both network interference and noise. We introduce a framework where the interferers are scattered according to a spatial Poisson process, and are operating asynchronously in a…

Information Theory · Computer Science 2016-11-17 Pedro C. Pinto , Moe Z. Win

We examine Ising models with heat-bath dynamics on directed networks. Our simulations show that Ising models on directed triangular and simple cubic lattices undergo a phase transition that most likely belongs to the Ising universality…

Statistical Mechanics · Physics 2015-12-02 Adam Lipowski , Antonio Luis Ferreira , Dorota Lipowska , Krzysztof Gontarek

We consider reliable and secure communication over intersymbol interference wiretap channels (ISI-WTCs). In particular, we first derive an achievable secure rate for ISI-WTCs without imposing any constraints on the input distribution.…

Information Theory · Computer Science 2023-04-14 Aria Nouri , Reza Asvadi , Jun Chen , Pascal O. Vontobel