Results 181 to 190 of about 43,843 (312)
Delocalized eigenvectors of transitive graphs and beyond
We prove delocalization of eigenvectors of vertex-transitive graphs via elementary estimates of the spectral projector. We recover in this way known results which were formerly proved using representation theory.Similar techniques show that for general ...
Letrouit, Cyril, Burq, Nicolas
core
Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source
Functional motifs in food webs and networks. [PDF]
Proc Natl Acad Sci U S AHabermann M +3 more
europepmc +1 more source
On derivatives of eigenvalues, eigenvectors and generalized eigenvectors of matrices
International Journal of Algebra, 2023 openaire +1 more source
Learning Eigenvectors for Free.
, 2011 We extend the classical problem of predicting a sequence of outcomes from a finite alphabet to the matrix domain. In this extension, the alphabet of n outcomes is replaced by the set of all dyads, i.e. outer products uu^T where u is a vector in R^n of unit length. Whereas in the classical case the goal is to learn (i.e. sequentially predict as well as)
W.M. Koolen-Wijkstra (Wouter) +2 more
openaire +2 more sources
Four‐Dimensional pp‐Wave Lie Groups and Harmonic Curvature
Mathematische Nachrichten, EarlyView.ABSTRACT We determine all four‐dimensional Lie groups which have harmonic curvature. In parallel, a description of four‐dimensional pp‐wave Lie groups is obtained.
E. García‐Río +2 more
wiley +1 more source
Mainlobe Interference Suppression Based on POL-SPICE and Covariance Matrix Reconstruction for Polarization-Sensitive Arrays. [PDF]
Sensors (Basel)Xiao B, He H, Wang L, Zhou T.
europepmc +1 more source
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, EarlyView.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
wiley +1 more source
Robust broadband adaptive beamforming for planar arrays with tunable nulls in high-dynamic scenario. [PDF]
Sci RepHao F +6 more
europepmc +1 more source
Exploring Asymptotic Normality in Multinomial Models
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Among the methods for analyzing categorical outcomes, the multinomial model offers a robust framework for examining the dependence between a multi‐category response variable and a set of explanatory variables. Its flexibility, versatility, and broad applicability across diverse fields make it a valuable tool, as it does not impose strict ...
Célia Nunes +3 more
wiley +1 more source