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Related papers: Statistical Mechanics of Interfering Links

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Systems which consist of many localized constituents interacting with each other can be represented by complex networks. Consistently, network science has become highly popular in vast fields focusing on natural, artificial and social…

Statistical Mechanics · Physics 2022-06-29 Rute Oliveira , Samuraí Brito , Luciano R. da Silva , Constantino Tsallis

We consider a type of intermittent behavior that occurs as the result of the interplay between dynamical mechanisms giving rise to type-I intermittency and random dynamics. We analytically deduce the laws for the distribution of the laminar…

Chaotic Dynamics · Physics 2008-01-29 A. E. Hramov , A. A. Koronovskii , M. K. Kurovskaja , A. A. Ovchinnikov , S. Boccaletti

In this Letter we identify the general rules that determine the synchronization properties of interconnected networks. We study analytically, numerically and experimentally how the degree of the nodes through which two networks are…

Physics and Society · Physics 2015-06-19 J. Aguirre , R. Sevilla-Escoboza , R. Gutiérrez , D. Papo , J. M. Buldú

Information-theoretic security -- widely accepted as the strictest notion of security -- relies on channel coding techniques that exploit the inherent randomness of the propagation channels to significantly strengthen the security of…

Information Theory · Computer Science 2010-01-22 Pedro C. Pinto , Joao Barros , Moe Z. Win

We develop a statistical mechanics approach for random networks with uncorrelated vertices. We construct equilibrium statistical ensembles of such networks and obtain their partition functions and main characteristics. We find simple…

Statistical Mechanics · Physics 2009-11-07 S. N. Dorogovtsev , J. F. F. Mendes , A. N. Samukhin

Directed networks are essential for representing complex systems, capturing the asymmetry of interactions in fields such as neuroscience, transportation, and social networks. Directionality reveals how influence, information, or resources…

Disordered Systems and Neural Networks · Physics 2024-12-23 Marián Boguñá , M. Ángeles Serrano

We study a message passing model, applicable also to traffic problems. The model is implemented in a discrete lattice, where particles move towards their destination, with fluctuations around the minimal distance path. A repulsive…

Condensed Matter · Physics 2009-10-28 I. Campos , A. Tarancon , F. Clerot , L. A. Fernandez

This paper analyzes the behavior of selfish transmitters under imperfect location information. The scenario considered is that of a wireless network consisting of selfish nodes that are randomly distributed over the network domain according…

Information Theory · Computer Science 2009-07-03 Hazer Inaltekin , Mung Chiang , H. Vincent Poor

Consider a countably infinite collection of interacting queues, with a queue located at each point of the $d$-dimensional integer grid, having independent Poisson arrivals, but dependent service rates. The service discipline is of the…

Probability · Mathematics 2019-03-12 Abishek Sankararaman , François Baccelli , Sergey Foss

We consider a dynamical linear network where nearest neighbours communicate via links whose states form binary (open/closed) valued independent and identically distributed Markov processes. Our main result is the tight information-theoretic…

Information Theory · Computer Science 2007-07-16 Oskari Ajanki , Antti Knowles

We address the problem of computing a Minimal Dominating Set in highly dynamic distributed systems. We assume weak connectivity, i.e., the network may be disconnected at each time instant and topological changes are unpredictable. We make…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-03 Swan Dubois , Mohamed-Hamza Kaaouachi , Franck Petit

The topological interference management problem refers to the study of the capacity of partially connected linear (wired and wireless) communication networks with no channel state information at the transmitters (no CSIT) beyond the network…

Information Theory · Computer Science 2013-02-19 Hua Sun , Chunhua Geng , Syed A. Jafar

A statistical mechanical framework to analyze linear vector channel models in digital wireless communication is proposed for a large system. The framework is a generalization of that proposed for code-division multiple-access systems in…

Information Theory · Computer Science 2007-11-06 Koujin Takeda , Atsushi Hatabu , Yoshiyuki Kabashima

The search for departures from standard hydrodynamics in many-body systems has yielded a number of promising leads, especially in low dimension. Here we study one of the simplest classical interacting lattice models, the nearest-neighbour…

Statistical Mechanics · Physics 2022-12-22 Adam J. McRoberts , Thomas Bilitewski , Masudul Haque , Roderich Moessner

We experimentally study the vicinity of the Jamming transition by investigating the statics and the dynamics of the contact network of an horizontally shaken bi-disperse packing of photo-elastic discs. Compressing the packing very slowly,…

Soft Condensed Matter · Physics 2015-06-04 C. Coulais , R. P. Behringer , O. Dauchot

Level and wavefunction statistics have been studied for two dimensional clusters of the square lattice in the presence of random magnetic fluxes. Fluxes traversing lattice plaquettes are distributed uniformly between - (1/2) Phi_0 and (1/2)…

Condensed Matter · Physics 2009-10-28 J. A. Verges

Many transport processes on networks depend crucially on the underlying network geometry, although the exact relationship between the structure of the network and the properties of transport processes remain elusive. In this paper we…

Physics and Society · Physics 2015-06-26 Bosiljka Tadic , G. J. Rodgers , Stefan Thurner

Chaotic lattice models at high temperature are generically expected to exhibit diffusive transport of all local conserved charges. Such diffusive transport is usually associated with overdamped relaxation of the associated currents. Here we…

Statistical Mechanics · Physics 2026-05-18 Vir B. Bulchandani , David A. Huse

This paper studies the impact of interference asynchrony among different links in a wireless network. Without deliberate coordination and cooperation among the active links, there is a naturally occurring misalignment between the symbols of…

Networking and Internet Architecture · Computer Science 2009-10-13 Shengli Zhang , Soung-Chang Liew , Lu Lu , Hui Wang

The aim of this paper is to study the effect of cooperation on system delay, quantified as the number of retransmissions required to deliver a broadcast message to all intended receivers. Unlike existing works on broadcast scenarios, where…

Information Theory · Computer Science 2013-06-19 Anvar Tukmanov , Zhiguo Ding , Said Boussakta , Abbas Jamalipour