Results 91 to 100 of about 134,115 (317)

Universal Parametric Correlations of Eigenvalues of Random Matrix Ensemble

, 1994
Eigenvalue correlations of random matrix ensembles as a function of an external perturbation are investigated vis the Dyson Brownian Motion Model in the situation where the level density has a hard edge singularity. By solving a linearized hydrodynamical
, Akhiezer N I, Basor E L, Chen Y, Chen Y, Chen Y, Dyson F J, Efetov K B, K J Eriksen, Macedo A M S, Mehta M L, Murray J D, Prudnikov A P, Simons B D, Sneddon I N, Stone A D, Tracy C A, Tracy C A, Yang Chen   +18 more
core   +1 more source

Realization of a Bilayer Elastic Topological Insulator

Advanced Science, EarlyView.
Bilayer elastic wave topological insulators are experimentally realized, introducing the layer degree of freedom to access four topological phases. This enables diverse domain walls and transmission behaviors, including interlayer conversion and beam splitting.
Chengzhi Ma, Zhiwei Song, Zheyu Cheng, Jiu Hui Wu, Baile Zhang   +4 more
wiley   +1 more source

A Dirichlet-to-Neumann approach for the exact computation of guided modes in photonic crystal waveguides

, 2013
This works deals with one dimensional infinite perturbation - namely line defects - in periodic media. In optics, such defects are created to construct an (open) waveguide that concentrates light.
Fliss, Sonia
core   +3 more sources

Thermally Programmable Two‐Port Non‐Hermitian Acoustic Metastructure for Broadband and Direction‐Dependent Absorption

Advanced Science, EarlyView.
A thermally programmable two‐port non‐Hermitian acoustic metastructure is presented, where temperature acts as a non‐geometric tuning variable. Thermal modulation reconfigures impedance matching and loss‐leakage coupling, enabling exceptional‐point driven, broadband, and direction‐dependent sound absorption without requiring geometric reconfiguration ...
Zichao Guo, Zhendong Li, Ziping Lei, Zirui Yang, Kexin Zeng, Zheng Fan, Zhonggang Wang   +6 more
wiley   +1 more source

Application for a Novel Perturbation Expansion Method

Journal of Algorithms & Computational Technology, 2009
We formulate a coupled vibration problem between a structure and an acoustic field by FEM (finite element methods). The problem leads to a nonstandard eigenvalue problem.
Li Deng, Craig C. Douglas, Gundolf Haase, Takashi Kako, Ichiro Hagiwara   +4 more
doaj   +1 more source

Perturbations of nonlinear eigenvalue problems

Communications on Pure & Applied Analysis, 2019
arXiv admin note: text overlap with arXiv:1804 ...
Papageorgiou, Nikolaos S., Rǎdulescu, Vicenţiu, Repovš, Dušan   +2 more
openaire   +4 more sources

Asymmetry Helps: Eigenvalue and Eigenvector Analyses of Asymmetrically Perturbed Low-Rank Matrices

, 2020
This paper is concerned with the interplay between statistical asymmetry and spectral methods. Suppose we are interested in estimating a rank-1 and symmetric matrix $\mathbf{M}^{\star}\in \mathbb{R}^{n\times n}$, yet only a randomly perturbed version ...
Chen, Yuxin, Cheng, Chen, Fan, Jianqing
core  

Experimental validation of the RESPONSE framework against cyberattacks on cyber‐physical process systems

AIChE Journal, EarlyView.
Abstract This work experimentally validates the RESPONSE (Resilient Process cONtrol SystEm) framework as a solution for maintaining safe, continuous operation of cyber‐physical process systems under cyberattacks. RESPONSE implements a dual‐loop architecture that runs a networked online controller in parallel with a hard‐isolated offline controller ...
Luyang Liu, Pu Du, Zaman Sajid, Benjamin Wilhite, Costas Kravaris, Faisal Khan   +5 more
wiley   +1 more source

Higher Eigenvalues and Topological Perturbations

, 2023
AbstractSome fundamental estimates for higher eigenvalues of standard Laplacians have already been derived in Sect. 4.6. The goal of this chapter is twofold: on the one hand considering the standard Laplacian we derive explicit fundamental estimates for higher eigenvalues and describe the behaviour of such eigenvalues under topological perturbations ...
openaire   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

Advanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source