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Consider a wireless network of transmitter-receiver pairs where the transmitters adjust their powers to maintain a target SINR level in the presence of interference. In this paper, we analyze the optimal power vector that achieves this…

Information Theory · Computer Science 2014-01-16 Aris L. Moustakas , Panayotis Mertikopoulos , Nicholas Bambos

The Miller-Abrahams (MA) random resistor network is given by a complete graph on a marked simple point process with edge conductivities depending on the marks and decaying exponentially in the edge length. As Mott random walk, it is an…

Mathematical Physics · Physics 2022-03-14 Alessandra Faggionato

Delocalization problem for a two-dimensional non-interacting electron system is studied under a random magnetic field. With the presence of a random magnetic field, the Hall conductance carried by each eigenstate can become nonzero and…

Condensed Matter · Physics 2016-08-31 D. N. Sheng , Z. Y. Weng

The state of a 2-D random resistor network, resulting from the simultaneous evolutions of two competing biased percolations, is studied in a wide range of bias values. Monte Carlo simulations show that when the external current $I$ is below…

Statistical Mechanics · Physics 2009-11-07 C. Pennetta , L. Reggiani , E. Alfinito , G. Trefan

Transmission of the scalar field through the random medium, represented by the system of randomly distributed dielectric cylinders is calculated numerically. System is mapped to the problem of electronic transport in disordered…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 P. Markos , C. M. Soukoulis

We consider power control in cognitive radio networks where secondary users identify and exploit instantaneous and local spectrum opportunities without causing unacceptable interference to primary users. We qualitatively characterize the…

Networking and Internet Architecture · Computer Science 2009-03-17 Wei Ren , Qing Zhao , Ananthram Swami

We present a linear mode analysis of the relativistic MHD equations in the presence of finite electrical conductivity. Starting from the fully relativistic covariant formulation, we derive the dispersion relation in the limit of small…

High Energy Astrophysical Phenomena · Physics 2018-10-17 A. Mignone , G. Mattia , G. Bodo

The resistivity as function of temperature of high temperature superconductors is very unusual and despite its importance lacks an unified theoretical explanation. It is linear with the temperature for overdoped compounds but it falls more…

Superconductivity · Physics 2012-11-19 C. F. S. Pinheiro , E. V. L. de Mello

We study composite assemblages of dielectrics and metamaterials with respectively positive and negative material parameters. In the continuum case, for a scalar equation, such media may exhibit so-called plasmonic resonances for certain…

Analysis of PDEs · Mathematics 2024-07-30 Kaïs Ammari , Eric Bonnetier , Alessandro Duca

We consider, both theoretically and experimentally, the excitation and detection of the localized quasi-modes (resonances) in an open dissipative 1D random system. We show that even though the amplitude of transmission drops dramatically so…

Disordered Systems and Neural Networks · Physics 2007-05-23 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher , A. Z. Genack , B. Hu , P. Sebbah

In this paper, a two-hop communication system with energy harvesting nodes is considered. Unlike battery powered wireless nodes, both the source and the relay are able to harvest energy from environment during communication, therefore, both…

Information Theory · Computer Science 2012-03-01 Oner Orhan , Elza Erkip

Controlling the flow of energy in a random medium is a research frontier with a wide range of applications. As recently demonstrated, the effect of disorder on the transmission of optical beams, may be partially compensated by wavefront…

Optics · Physics 2013-05-01 Marco Leonetti , Claudio Conti , Cefe Lopez

We present a method that allows us to find asymptotic form of various characteristics of disordered systems in the strong localization regime, i.e., when either the random potential is big enough or the energy is close enough to the…

Mathematical Physics · Physics 2009-11-10 W. Kirsch , O. Lenoble , L. Pastur

The spatial non-locality (dispersion) of the transport equations results in a nonlinear dependence of the voltage drop $U$ on the distance between the points of measuring. Therefore the results of the usual two-probe measurements of the…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. G. Groshev , S. G. Novokshonov

We address the problem of message transfer in a communication network. The network consists of nodes and links, with the nodes lying on a two dimensional lattice. Each node has connections with its nearest neighbours, whereas some special…

Statistical Mechanics · Physics 2007-05-23 Brajendra K. Singh , Neelima M. Gupte

Localized states in one-dimensional open disordered systems and their connection to the internal structure of random samples have been studied. It is shown that the localization of energy and anomalously high transmission associated with…

Disordered Systems and Neural Networks · Physics 2009-11-10 K. Yu. Bliokh , Yu. P. Bliokh , V. Freilikher

Two-dimensional random metal networks possess unique electrical and optical properties, such as almost total optical transparency and low sheet resistance, which are closely related to their disordered structure. Here we present a detailed…

In many wireless systems, interference is the main performance-limiting factor, and is primarily dictated by the locations of concurrent transmitters. In many earlier works, the locations of the transmitters is often modeled as a Poisson…

Information Theory · Computer Science 2016-11-17 Radha Krishna Ganti , Jeffrey G. Andrews , Martin Haenggi

We consider the class of wireless links whose propagation characteristics are described by a dipole model. This comprises free-space links between dipole antennas and magneto-inductive links between coils, with important communication and…

Information Theory · Computer Science 2022-06-08 Gregor Dumphart , Armin Wittneben

Wireless networks can be self-sustaining by harvesting energy from ambient radio-frequency (RF) signals. Recently, researchers have made progress on designing efficient circuits and devices for RF energy harvesting suitable for low-power…

Networking and Internet Architecture · Computer Science 2016-11-15 Seunghyun Lee , Rui Zhang , Kaibin Huang
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