Almost-Hermitian Random Matrices: Crossover from Wigner-Dyson to Ginibre eigenvalue statistics
, 1997 By using the method of orthogonal polynomials we analyze the statistical properties of complex eigenvalues of random matrices describing a crossover from Hermitian matrices characterized by the Wigner- Dyson statistics of real eigenvalues to strongly non-
A. Edelman +31 more
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Eigenvalues, eigenspaces and distances to subsets
Discrete Mathematics, 1997 The authors show how to improve certain, previously known, graph eigenvalues based calculations yielding upper bounds for the diameter of a vertex-transitive graph. Also upper bounds for the covering radius of error-correcting codes are derived.
Delorme, C., Tillich, J.P.
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The spectral excess theorem for distance-regular graphs having distance-d graph with fewer distinct eigenvalues [PDF]
, 2015 Let G be a distance-regular graph with diameter d and Kneser graph K=Gd, the distance-d graph of G. We say that G is partially antipodal when K has fewer distinct eigenvalues than G. In particular, this is the case of antipodal distance-regular graphs (K
Fiol Mora, Miquel Àngel
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Distance-regular graphs with exactly one positive q-distance eigenvalue
Linear Algebra and its Applications19 ...
Jack H. Koolen +3 more
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Covariance inflation in the ensemble Kalman filter: a residual nudging perspective and some implications [PDF]
, 2013 This note examines the influence of covariance inflation on the distance between the measured observation and the simulated (or predicted) observation with respect to the state estimate. In order for the aforementioned distance to be bounded in a certain
Hoteit, Ibrahim, Luo, Xiaodong
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Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films
Advanced Functional Materials, EarlyView.The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram +2 more
wiley +1 more source
Distant perturbation asymptotics in window-coupled waveguides. I. The non-threshold case
, 2006 We consider a pair of adjacent quantum waveguides, in general of different widths, coupled laterally by a pair of windows in the common boundary, not necessarily of the same length, at a fixed distance.
Blank J. +4 more
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Advanced Functional Materials, EarlyView.This study uncovers the unexplored role of intermolecular interactions in multiphoton absorption in coordination polymers. By analyzing [Zn2tpda(DMA)2(DMF)0.3], it shows how the electronic coupling of the chromophores and confinement in the MOF enhance two‐and three‐photon absorption.
Simon Nicolas Deger +11 more
wiley +1 more source
Effects of Matrix Orientifolding to Two-Loop Effective Action of Bosonic IIB Matrix Model [PDF]
, 2010 We study the spacetime structures which are described by the IIB matrix model with orientifolding. Matrix orientifolding that preserves supersymmetries yields the mirror image point with respect to a four-dimensional plane for each spacetime point that ...
Yoshioka, Reiji
core
A useful variant of the Davis--Kahan theorem for statisticians [PDF]
, 2014 The Davis--Kahan theorem is used in the analysis of many statistical procedures to bound the distance between subspaces spanned by population eigenvectors and their sample versions. It relies on an eigenvalue separation condition between certain relevant
Samworth, Richard J. +2 more
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