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We introduce an easily computable topological measure which locates the effective crossover between segregation and integration in a modular network. Segregation corresponds to the degree of network modularity, while integration is…

Adaptation and Self-Organizing Systems · Physics 2012-06-18 A. Ajdari Rad , I. Sendiña-Nadal , D. Papo , M. Zanin , J. M. Buldú , F. del Pozo , S. Boccaletti

The wavefront dislocation is an important and ubiquitous phenomenon in wave fields. It is closely related to the phase singularity in a wave function. Some recent studies have verified that the wavefront dislocations in the local density of…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Chen Zhuang , Qing-Feng Sun

In the workspace model of machining an experimental procedure is implemented to determine the elastic behaviour of the machining system. In an other work we have proposed a static characterization of the machining system. In this paper a…

Classical Physics · Physics 2009-08-04 Miron Zapciu , Olivier Cahuc , Claudiu-Florinel Bisu , Alain Gérard , Jean-Yves K'Nevez

{We study a model of small-amplitude traveling waves arising in a supercritical Hopf-bifurcation, that are coupled to a slowly varying, real field. The field is advected by the waves and, in turn, affects their stability via a coupling to…

Pattern Formation and Solitons · Physics 2009-10-31 Alex Roxin , Hermann Riecke

Mobile sensing has been recently proposed for sampling spatial fields, where mobile sensors record the field along various paths for reconstruction. Classical and contemporary sampling typically assumes that the sampling locations are…

Information Theory · Computer Science 2017-11-15 Charvi Rastogi , Animesh Kumar

Simultaneous localization and mapping (SLAM) in slowly varying scenes is important for long-term robot task completion. Failing to detect scene changes may lead to inaccurate maps and, ultimately, lost robots. Classical SLAM algorithms…

Correlations and measures of entanglement in ground state wavefunctions of relativistic quantum field theories are spatially localized over length scales set by the mass of the lightest particle. We utilize this localization to design…

Quantum Physics · Physics 2020-07-29 Natalie Klco , Martin J. Savage

In glasses and other disordered materials, measurements of the vibrational density of states reveal that an excess number of long-wavelength (low-frequency) modes, as compared to the Debye scaling seen in crystalline materials, is…

Soft Condensed Matter · Physics 2012-09-17 Eli T. Owens , Karen E. Daniels

Estimating the density of states of systems with rugged free energy landscapes is a notoriously difficult task of the utmost importance in many areas of physics ranging from spin glasses to biopolymers. Density of states estimation has also…

Statistical Mechanics · Physics 2019-07-31 Lev Barash , Jeffrey Marshall , Martin Weigel , Itay Hen

In this paper, we develop a \textit{distributed} algorithm to localize an arbitrary number of agents moving in a bounded region of interest. We assume that the network contains \textit{at least one} agent with known location (hereinafter…

Systems and Control · Computer Science 2017-01-24 Sam Safavi , Usman A. Khan

We study the localization phenomena in a one-dimensional lattice system with a uniformly moving disordered potential. At a low moving velocity, we find a sliding localized phase in which the initially localized matter wave adiabatically…

Quantum Gases · Physics 2023-07-06 Chenyue Guo , Zi Cai

Location-aware networks are of great importance and interest in both civil and military applications. This paper determines the localization accuracy of an agent, which is equipped with an antenna array and localizes itself using wireless…

Information Theory · Computer Science 2016-11-17 Yanjun Han , Yuan Shen , Xiao-Ping Zhang , Moe Z. Win , Huadong Meng

State-specific approximations can provide an accurate representation of challenging electronic excitations by enabling relaxation of the electron density. While state-specific wave functions are known to be local minima or saddle points of…

Chemical Physics · Physics 2022-01-06 Hugh G. A. Burton

The objective of this study is to detect and quantify the periodic behavior of the signals using topological methods. We propose to use delay-coordinate embeddings as a tool to measure the periodicity of signals. Moreover, we use persistent…

Algebraic Topology · Mathematics 2014-02-21 Saba Emrani , Thanos Gentimis , Hamid Krim

Random packings of stiff rods are self-supporting mechanical structures stabilized by long range interactions induced by contacts. To understand the geometrical and topological complexity of the packings, we first deploy X-ray computerized…

Soft Condensed Matter · Physics 2024-09-24 Yeonsu Jung , Thomas Plumb-Reyes , Hao-Yu Greg Lin , L. Mahadevan

In this paper, we first propose a unified framework for analyzing the stability of the phaseless operators for both amplitude and intensity measurement on an arbitrary geometric set, thereby characterizing the robust performance of phase…

Information Theory · Computer Science 2026-05-11 Gao Huang , Song Li

In comparing the behavior of an energy spectrum to the predictions of random matrix theory one must transform the spectrum such that the averaged level spacing is constant, a procedure known as unfolding. Once energy spectrums belong to an…

Disordered Systems and Neural Networks · Physics 2023-06-14 Richard Berkovits

We propose an empirical method for identifying low damped modes and corresponding mode shapes using frequency measurements from a Wide Area Monitoring System. The method consists of two main steps: Firstly, Complex Principal Component…

Signal Processing · Electrical Eng. & Systems 2021-02-02 Hallvar Haugdal , Kjetil Uhlen

A promising approach to accurate positioning of robots is ground texture based localization. It is based on the observation that visual features of ground images enable fingerprint-like place recognition. We tackle the issue of efficient…

Computer Vision and Pattern Recognition · Computer Science 2021-09-06 Jan Fabian Schmid , Stephan F. Simon , Rudolf Mester

We introduce a single-channel opening in a random Hamiltonian and a quantized chaotic map: localization on the opening occurs as a sensible deviation of the wavefunction statistics from the predictions of random matrix theory, even in the…

Chaotic Dynamics · Physics 2015-08-05 Domenico Lippolis , Jung-Wan Ryu , Sang Wook Kim
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