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In this paper we study the optimal reinforcement of an elastic membrane, fixed at its boundary, by means of a network (connected onedimensional structure), that has to be found in a suitable admissible class. We show the existence of an…

Analysis of PDEs · Mathematics 2019-05-22 Giovanni Alberti , Giuseppe Buttazzo , Serena Guarino Lo Bianco , Edouard Oudet

The present work is aimed to find suitable exchange conditions for saturated fluid flow in a porous medium, when a fractal microstructure is embedded in the porous matrix. Two different deterministic models are introduced and rigorously…

Analysis of PDEs · Mathematics 2020-08-21 Fernando A Morales , Luis C Aristizábal

The role of graphene in mediating the exchange interaction is theoretically investigated when it is placed between two ferromagnetic dielectric materials. The calculation based on a tight-binding model illustrates that the magnetic…

Materials Science · Physics 2009-11-13 Y. G. Semenov , J. M. Zavada , K. W. Kim

In this paper, we provide a mathematical optimization-based framework to determine the location of leak detection devices along a network. Assuming that the devices are endowed with a known coverage area, we analyze two different models.…

Optimization and Control · Mathematics 2023-07-14 Víctor Blanco , Miguel Martínez-Antón

Optimal percolation is the problem of finding the minimal set of nodes such that if the members of this set are removed from a network, the network is fragmented into non-extensive disconnected clusters. The solution of the optimal…

Physics and Society · Physics 2018-03-02 Saeed Osat , Ali Faqeeh , Filippo Radicchi

Intelligent reflecting surfaces (IRSs) can be beneficial to both information and energy transfer, due to the gains achieved by their multiple elements. In this work, we deal with the impact of spatial correlation between the IRS elements,…

Information Theory · Computer Science 2021-06-10 Constantinos Psomas , Ioannis Krikidis

Natural and artificial networks, from the cerebral cortex to large-scale power grids, face the challenge of converting noisy inputs into robust signals. The input fluctuations often exhibit complex yet statistically reproducible…

Adaptation and Self-Organizing Systems · Physics 2018-11-19 Henrik Ronellenfitsch , Jörn Dunkel , Michael Wilczek

I propose the 1D Subgrid Method for calculating fluid exchange between fractures and matrix with a non-conforming mesh. The method is demonstrated on linear and radial flow problems. The method has negligible computational cost and is…

Geophysics · Physics 2017-09-12 Mark McClure

We consider a distributed edge computing scenario consisting of several wireless nodes that are located over an area of interest. Specifically, some of the "master" nodes are tasked to sense the environment (e.g., by acquiring images or…

Information Theory · Computer Science 2019-10-31 Erdem Koyuncu

A resource exchange network is considered, where exchanges among nodes are based on reciprocity. Peers receive from the network an amount of resources commensurate with their contribution. We assume the network is fully connected, and…

Social and Information Networks · Computer Science 2018-12-27 Konstantinos P. Tsoukatos

Units of complex systems -- such as neurons in the brain or individuals in societies -- must communicate efficiently to function properly: e.g., allowing electrochemical signals to travel quickly among functionally connected neuronal areas…

Physics and Society · Physics 2020-03-17 Arsham Ghavasieh , Manlio De Domenico

Recent work has studied the benefits of caching in the interference channel, particularly by placing caches at the transmitters. In this paper, we study the two-user Gaussian interference channel in which caches are placed at both the…

Information Theory · Computer Science 2016-11-17 Jad Hachem , Urs Niesen , Suhas Diggavi

Consider a consensus-driven multi-agent dynamic system. The interaction range, which defines the set of neighbors for each agent, plays a key role in influencing connectivity of the underlying network. In this paper, we assume the system is…

Systems and Control · Electrical Eng. & Systems 2020-04-28 Saad J Saleh

We report on a novel dynamic phase in electrical networks, in which current channels perpetually change in time. This occurs when the individual elements of the network are fuse-antifuse devices, namely, become insulators within a certain…

Disordered Systems and Neural Networks · Physics 2017-01-04 Cesar I. N. Sampaio Filho , Andre A. Moreira , Nuno A. N. Araujo , Jose S. Andrade , Hans J. Herrmann

Energy harvesting has emerged as a powerful technology for complementing current battery-powered communication systems in order to extend their lifetime. In this paper a general framework is introduced for the optimization of communication…

Information Theory · Computer Science 2012-03-14 Bertrand Devillers , Deniz Gunduz

To address growth challenges facing large Data Centers and supercomputing clusters a new construction is presented for scalable, high throughput, low latency networks. The resulting networks require 1.5-5 times fewer switches, 2-6 times…

Information Theory · Computer Science 2014-03-25 Ratko V. Tomic

The behavior of the surface barrier that forms at the metal-vacuum interface is important for several fields of surface science. Within the Density Functional Theory framework, this surface barrier has two non-trivial components: exchange…

Other Condensed Matter · Physics 2009-11-11 C. M. Horowitz , C. R. Proetto , S. Rigamonti

This paper introduces a theory for assessing and optimizing the multiple-input-multiple-output performance of multi-port cluster antennas in terms of efficiency, channel correlation, and power distribution. A method based on a convex…

Information Theory · Computer Science 2023-12-25 Vojtech Neuman , Miloslav Capek , Lukas Jelinek , Anu Lehtovuori , Ville Viikari

Reinforced elastic sheets surround us in daily life, from concrete shell buildings to biological structures such as the arthropod exoskeleton or the venation network of dicotyledonous plant leaves. Natural structures are often highly…

Biological Physics · Physics 2021-01-27 Henrik Ronellenfitsch

We minimize the dissipation rate of an electrical network under a global constraint on the sum of powers of the conductances. We construct the explicit scaling relation between currents and conductances, and show equivalence to a a previous…

Disordered Systems and Neural Networks · Physics 2013-05-29 Steffen Bohn , Marcelo O. Magnasco