Local spectral statistics of the addition of random matrices
Sign Up to like & getrecommendations! Published in 2019 at "Probability Theory and Related Fields"
DOI: 10.1007/s00440-019-00932-2
Abstract: We consider the local statistics of $$H = V^* X V + U^* Y U$$H=V∗XV+U∗YU where V and U are independent Haar-distributed unitary matrices, and X and Y are deterministic real diagonal matrices. In the… read more here.
Keywords: local spectral; addition random; random matrices; statistics addition ... See more keywords
Spectral statistics of a 1D photonic crystal containing an anisotropic graphene-based hyperbolic metamaterial defect layer
Sign Up to like & getrecommendations! Published in 2021 at "Optical Materials"
DOI: 10.1016/j.optmat.2021.111483
Abstract: Abstract A simple photonic crystal is a periodic and regular nanostructure. Breaking the periodicity of a photonic crystal by a defect layer can be an interesting pattern. We study the spectral statistics of eigenfrequency spacings… read more here.
Keywords: defect layer; graphene; photonic crystal; spectral statistics ... See more keywords
Spectral statistics of multiparametric Gaussian ensembles with chiral symmetry.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.102.032131
Abstract: The statistics of chiral matrix ensembles with uncorrelated but multivariate Gaussian distributed elements is intuitively expected to be driven by many parameters. Contrary to intuition, however, our theoretical analysis reveals the existence of a single… read more here.
Keywords: statistics multiparametric; chiral symmetry; ensembles chiral; gaussian ensembles ... See more keywords
Spectral statistics of light in one-dimensional graphene-based photonic crystals.
Sign Up to like & getrecommendations! Published in 2021 at "Physical review. E"
DOI: 10.1103/physreve.104.014116
Abstract: The optical properties and spectral statistics of light in one-dimensional photonic crystals in the representative classes of (AB)^{N} (composed of dielectric layers) and (AGBG)^{N} (composed of periodic stacking of graphene-dielectric layers) have been investigated using… read more here.
Keywords: photonic crystals; one dimensional; graphene; light one ... See more keywords