Results 61 to 70 of about 128,344 (265)
Diameters, distortion, and eigenvalues
European Journal of Combinatorics, 2012 We study the relation between the diameter, the first positive eigenvalue of the discrete $p$-Laplacian and the $\ell_p$-distortion of a finite graph. We prove an inequality relating these three quantities and apply it to families of Cayley and Schreier graphs.
Rostislav I. Grigorchuk, Piotr W. Nowak
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Variational principles for eigenvalues of the Klein-Gordon equation
, 2006 In this paper variational principles for eigenvalues of an abstract model of the Klein-Gordon equation with electromagnetic potential are established. They are used to characterize and estimate eigenvalues in cases where the essential spectrum has a gap ...
Matthias Langer +4 more
core +1 more source
Advanced Electronic Materials, EarlyView.Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
wiley +1 more source
Exceptional Antimodes in Multi‐Drive Cavity Magnonics
Advanced Electronic Materials, EarlyView.Driven‐dissipative cavity‐magnonics provides a flexible platform for engineering non‐Hermitian physics such as exceptional points. Here, using a four‐port, three‐mode system with controllable microwave interference, antimodes and coherent perfect extinction (CPE) are realized, enabling active tuning to antimode exceptional points.
Mawgan A. Smith +4 more
wiley +1 more source
Combinatorica, 1986 Let \(G=(V,E)\) be a graph. An \((n,d,c)\)-expander is any bipartite graph on the sets of vertices \(I\) (inputs) and \(O\) (outputs), where \(| I| =| O| =n\), the maximal degree of vertices is \(\underline{d}\), and \[ \operatorname{card} \{v\in V\mid vx\in E\text{ for some }x\in X\}\geq [1+c(1- \alpha /n)]\cdot \alpha, \] whenever \(X\subseteq I ...
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Nonlinear Transverse Transport in a Ferromagnetic Polar Metal
Advanced Electronic Materials, EarlyView.This work reports the observation of a nonlinear transverse response in ferromagnetic polar SrRuO3(111) thin films. The nonlinear signal exhibits a sharp enhancement across the magnetic phase transition. Through detailed scaling and theoretical analysis, the authors attribute this behavior to a sign reversal of the Berry curvature triple, establishing ...
Xuyang Sha +13 more
wiley +1 more source
Product Eigenvalue Problems [PDF]
SIAM Review, 2005 Summary: Many eigenvalue problems are most naturally viewed as product eigenvalue problems. The eigenvalues of a matrix \(A\) are wanted, but \(A\) is not given explicitly. Instead it is presented as a product of several factors: \(A = A_{k}A_{k-1}\dots A_{1}\). Usually more accurate results are obtained by working with the factors rather than forming \
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Uniform approximation of eigenvalues in Laguerre and Hermite beta-ensembles by roots of orthogonal polynomials [PDF]
We derive strong uniform approximations for the eigenvalues in general Laguerre and Hermite beta-ensembles by showing that the maximal discrepancy between the suitably scaled eigenvalues and roots of orthogonal polynomials converges almost surely to zero
Dette, Holger, Imhof, Lorens A.
core
Bifurcations and dynamical evolution of eigenvalues of Hamiltonian systems
, 2013 The transient behavior of the eigenvalues of a state transition matrix in a Hamiltonian system is investigated. Mathematical tools are developed to derive the necessary and sufficient conditions for bifurcations of eigenvalues off and onto the unit ...
Hsiao, Fu-Yuen; Scheeres, D. J. +1 more
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Topological Materials and Related Applications
Advanced Electronic Materials, EarlyView.This review covers topological materials—including topological insulators, quantum valley Hall and quantum spin Hall insulators, and topological Weyl and Dirac semimetals—as well as their most recent advancements in fields such as spintronics, electronics, photonics, thermoelectrics, and catalysis.
Carlo Grazianetti +9 more
wiley +1 more source