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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

In a series of two papers, we investigate the large deviations and asymptotic behavior of stochastic models of brain neural networks with random interaction coefficients. In this first paper, we take into account the spatial structure of…

Probability · Mathematics 2017-01-05 Tanguy Cabana , Jonathan Touboul

The asymptotic behavior of the integrated density of states for a randomly perturbed lattice at the infimum of the spectrum is investigated. The leading term is determined when the decay of the single site potential is slow. The leading…

Probability · Mathematics 2010-12-14 Ryoki Fukushima , Naomasa Ueki

This paper analyzes the asymptotic behavior of a multiple-access network comprising a large number of selfish transmitters competing for access to a common wireless communication channel, and having different utility functions for…

Information Theory · Computer Science 2016-11-15 Hazer Inaltekin , Mung Chiang , Harold Vincent Poor , Stephen B. Wicker

This paper considers a random access system where each sender can be in two modes of operation, active or not active, and where the set of active users is available to a common receiver only. Active transmitters encode data into independent…

Information Theory · Computer Science 2016-11-18 Paolo Minero , Massimo Franceschetti , David N. C. Tse

Randomization is a powerful tool that endows algorithms with remarkable properties. For instance, randomized algorithms excel in adversarial settings, often surpassing the worst-case performance of deterministic algorithms with large…

Machine Learning · Computer Science 2024-08-21 Johannes von Oswald , Seijin Kobayashi , Yassir Akram , Angelika Steger

Entrainment of randomly coupled oscillator networks by periodic external forcing applied to a subset of elements is numerically and analytically investigated. For a large class of interaction functions, we find that the entrainment window…

Disordered Systems and Neural Networks · Physics 2015-06-25 Hiroshi Kori , Alexander S. Mikhailov

This paper studies the capacity of massive random-access cellular networks, modeled as a MIMO fading channel with an infinite number of interfering cells. To characterize the symmetric sum rate of the network, a random-coding argument is…

Information Theory · Computer Science 2025-09-26 Grace Villacrés , Tobias Koch , Gonzalo Vazquez-Vilar

In this paper, we provide closed form expressions for the probability density functions (PDF) of the interference power in a network whose transmitters are arranged according to the Poisson Point Process (PPP). These expressions apply for…

Information Theory · Computer Science 2018-03-29 Hussein A. Ammar , Youssef Nasser , Hassan Artail

Transport in undoped graphene is related to percolating current patterns in the networks of {\em N-} and {\em P}-type regions reflecting the strong bipolar charge density fluctuations. Transmissions of the {\em P-N} junctions, though small,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 V. V. Cheianov , V. I. Falko , B. L. Altshuler , I. L. Aleiner

We study the behavior of the random walk in a continuum independent long-range percolation model, in which two given vertices $x$ and $y$ are connected with probability that asymptotically behaves like $|x-y|^{-\alpha}$ with $\alpha>d$,…

Probability · Mathematics 2022-09-30 Ercan Sönmez , Arnaud Rousselle

Most propagation models do not consider the influence of antenna patterns on the parameters and characteristics of received signals. This assumption is equivalent to the use of isotropic or omnidirectional antennas in these models.…

Signal Processing · Electrical Eng. & Systems 2025-03-25 Jan M. Kelner , Cezary Ziolkowski

This paper presents a machine learning strategy that tackles a distributed optimization task in a wireless network with an arbitrary number of randomly interconnected nodes. Individual nodes decide their optimal states with distributed…

Information Theory · Computer Science 2021-06-16 Hoon Lee , Sang Hyun Lee , Tony Q. S. Quek

We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power…

Information Theory · Computer Science 2015-01-20 Krishna Chaitanya A , Utpal Muherji , Vinod Sharma

Convergence of resource allocation algorithms is well covered in the literature as convergence to a steady state is important due to stability and performance. However, research is lacking when it comes to the propagation of change that…

Information Theory · Computer Science 2012-10-19 Brage Ellingsæter , Torleiv Maseng

The dynamics of interference over space and time influences the performance of wireless communication systems, yet its features are still not fully understood. This article analyzes the temporal dynamics of the interference in Poisson…

Information Theory · Computer Science 2019-04-26 Udo Schilcher , Jorge F. Schmidt , Mahin K. Atiq , Christian Bettstetter

We derive properties of Latent Variable Models for networks, a broad class of models that includes the widely-used Latent Position Models. These include the average degree distribution, clustering coefficient, average path length and degree…

Methodology · Statistics 2015-06-26 Riccardo Rastelli , Nial Friel , Adrian E. Raftery

This review explains in a self-contained way the properties of random Boolean networks and their attractors, with a special focus on critical networks. Using small example networks, analytical calculations, phenomenological arguments, and…

Statistical Mechanics · Physics 2008-11-14 Barbara Drossel

In this work we treat the unsourced random access problem on a Rayleigh block-fading AWGN channel with multiple receive antennas. Specifically, we consider the slowly fading scenario where the coherence block-length is large compared to the…

Information Theory · Computer Science 2021-09-22 Alexander Fengler , Osman Musa , Peter Jung , Giuseppe Caire

Periodic signals in electrical and electronic equipment can cause interference in nearby devices. Randomized modulation of those signals spreads their energy through the frequency spectrum and can help to mitigate electromagnetic…

Quantum Physics · Physics 2014-11-27 Juan Carlos Garcia-Escartin