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Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

We develop a geometric framework to study the structure and function of complex networks. We assume that hyperbolic geometry underlies these networks, and we show that with this assumption, heterogeneous degree distributions and strong…

Statistical Mechanics · Physics 2010-09-14 Dmitri Krioukov , Fragkiskos Papadopoulos , Maksim Kitsak , Amin Vahdat , Marian Boguna

Distribution grids represent the final tier in electric networks consisting of medium and low voltage lines that connect the distribution substations to the end-users. Traditionally, distribution networks have been operated in a radial…

Optimization and Control · Mathematics 2016-03-03 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

We introduce an effective edge network theory to characterize the boundary topology of coupled edge states generated from various types of topological insulators. Two examples studied are a two-dimensional second-order topological insulator…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Yan-Qi Wang , Joel E. Moore

The selective control of specific momentum valleys lies at the core of valleytronics, a field that has thus far focused primarily on the $\mathbf{K}$ and $\mathbf{K'}$ valleys in transition metal dichalcogenides (TMDs). However, direct…

Strongly Correlated Electrons · Physics 2026-05-05 Youngjae Kim

Recent advances in non-radiative wireless power transfer (WPT) technique essentially relying on magnetic resonance and near-field coupling have successfully enabled a wide range of applications. However, WPT systems based on double…

To perform any meaningful optimization task, distribution grid operators need to know the topology of their grids. Although power grid topology identification and verification has been recently studied, discovering instantaneous interplay…

Information Theory · Computer Science 2019-11-11 Qiuling Yang , Mario Coutino , Gang Wang , Georgios B. Giannakis , Geert Leus

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a $Z_2$…

Strongly Correlated Electrons · Physics 2011-07-29 Zhong Wang , Xiao-Liang Qi , Shou-Cheng Zhang

The traditional node percolation map of directed networks is reanalyzed in terms of edges. In the percolated phase, edges can mainly organize into five distinct giant connected components, interfaces bridging the communication of nodes in…

Disordered Systems and Neural Networks · Physics 2009-11-13 M. Angeles Serrano , Paolo De Los Rios

Recent developments in Deep Learning (DL) suggest a vast potential for Topology Optimization (TO). However, while there are some promising attempts, the subfield still lacks a firm footing regarding basic methods and datasets. We aim to…

Machine Learning · Computer Science 2023-06-07 Sören Dittmer , David Erzmann , Henrik Harms , Peter Maass

This paper presents an analytical framework to model fault-tolerance in unstructured peer-to-peer overlays, represented as complex networks. We define a distributed protocol peers execute for managing the overlay and reacting to node…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-09 Stefano Ferretti

Combining physical and synthetic dimensions allows a controllable realization and manipulation of high dimensional topological states. In our work, we introduce two quasiperiodically driven 1D systems which enable tunable topological energy…

Mesoscale and Nanoscale Physics · Physics 2018-04-25 Yang Peng , Gil Refael

The transition to 4th generation district heating creates a growing need for scalable, automated design tools that accurately capture the spatial and temporal details of heating network operation. This paper presents an automated design…

Computational Engineering, Finance, and Science · Computer Science 2024-01-30 Yannick Wack , Martin Sollich , Robbe Salenbien , Jan Diriken , Martine Baelmans , Maarten Blommaert

The topological (graph) structure of complex networks often provides valuable information about the performance and vulnerability of the network. However, there are multiple ways to represent a given network as a graph. Electric power…

Physics and Society · Physics 2014-05-20 Eduardo Cotilla-Sanchez , Paul D. H. Hines , Clayton Barrows , Seth Blumsack

The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links, the average eccentricity and…

Physics and Society · Physics 2015-05-25 Sarah De Nigris , Xavier Leoncini

Topological nodal rings can be classified into three types according to the slopes in their energy dispersion. The first two are made of type-I and II nodal points, respectively, while the third is made of both. In carbon networks, all…

Materials Science · Physics 2018-03-21 Yan Gao , Yuanping Chen , Yuee Xie , Po-Yao Chang , Marvin L. Cohen , Shengbai Zhang

A new family of combined subdivision schemes with one tension parameter is proposed by the interpolatory and approximating subdivision schemes. The displacement vectors between the points of interpolatory and approximating subdivision…

Numerical Analysis · Mathematics 2019-04-30 Rabia Hameed

In a power distribution network, the network topology information is essential for an efficient operation of the network. This information of network connectivity is not accurately available, at the low voltage level, due to uninformed…

Systems and Control · Computer Science 2016-09-12 Jayadev P Satya , Nirav Bhatt , Ramkrishna Pasumarthy , Aravind Rajeswaran

We study the effects of the allocation of distributed generation on the resilience of power grids. We find that an unconstrained allocation and growth of the distributed generation can drive a power grid beyond its design parameters. In…

Physics and Society · Physics 2014-02-06 Antonio Scala , Mario Mureddu , Alessandro Chessa , Guido Caldarelli , Alfonso Damiano

Deep convolutional neural networks achieve remarkable visual recognition performance, at the cost of high computational complexity. In this paper, we have a new design of efficient convolutional layers based on three schemes. The 3D…

Computer Vision and Pattern Recognition · Computer Science 2017-01-25 Min Wang , Baoyuan Liu , Hassan Foroosh