Results 71 to 80 of about 63,997 (266)
, 2002 We estimate the eigenvalues of connection Laplacians in terms of the non-triviality of the holonomy.
Ballmann, Werner +2 more
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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
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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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
On $\alpha$-spectral theory of a directed k-uniform hypergraph [PDF]
Computer Science Journal of Moldova, 2020 In this paper, we study a k-uniform directed hypergraph in general form and introduce its adjacency tensor, Laplacian tensor and signless Laplacian tensor. For the $k$-uniform directed hypergraph $\mathcal{H}$ and $0\leq \alpha
Gholam-Hasan Shirdel +2 more
doaj
Open Mathematics, 2020 In this paper, we discuss the monotonicity of the first nonzero eigenvalue of the Laplace operator and the p-Laplace operator under a forced mean curvature flow (MCF).
Qi Xuesen, Liu Ximin
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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
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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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
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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