Results 11 to 20 of about 573 (115)
Location of singular points in orthorhombic media
The dependence of the location of singular points of orthorhombic (ORT) media on the stiffness coefficients , and phase velocity at the singularity point is studied under the assumption that are larger than and .
Yu.V. Roganov +2 more
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Christoffel Transformations for Matrix Orthogonal Polynomials in the Real Line and the non-Abelian 2D Toda Lattice Hierarchy [PDF]
Given a matrix polynomial $W(x)$, matrix bi-orthogonal polynomials with respect to the sesquilinear form $\langle P(x),Q(x)\rangle_W=\int P(x) W(x)\operatorname{d}μ(x)(Q(x))^{\top}$, $P(x),Q(x)\in\mathbb R^{p\times p}[x]$, where $μ(x)$ is a matrix of Borel measures supported in some infinite subset of the real line, are considered.
Álvarez Fernández, Carlos +4 more
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Spectral form factor in the τ-scaling limit
We study the spectral form factor (SFF) of general topological gravity in the limit of large time and fixed temperature. It has been observed recently that in this limit, called the tau-scaling limit, the genus expansion of the SFF can be summed up and ...
Kazumi Okuyama, Kazuhiro Sakai
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The in-plane elastic waves in periodically multilayered isotropic structures, which are decoupled from the out-of-plane waves, are represented mainly by the frequency–wavenumber spectra and occasionally by the frequency–phase velocity spectra as well as ...
Qiangqiang Li, Yongqiang Guo, Yajun Wang
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ON A GENERALIZATION OF THE MAXIMUM ENTROPY THEOREM OF BURG
In this article we introduce some matrix manipulations that allow us to obtain a version of the original Christoffel-Darboux formula, which is of interest in many applications of linear algebra. Using these developments matrix and Jensen’s inequality, we
JOSÉ MARCANO +2 more
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When non-linear models are fitted to experimental data, parameter estimates can be poorly constrained albeit being identifiable in principle. This means that along certain paths in parameter space, the log-likelihood does not exceed a given statistical ...
Daniel Lill, Jens Timmer, Daniel Kaschek
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Analyze the multi-wire magnetic field of HGMS by semi-analytical method
In this paper, a semi-analytical method (SAM) to analyze the magnetic field distribution in High-Gradient Magnetic Separation (HGMS) was promoted, constituting a combination of conform mapping (includes Schwarz-Christoffel (S-C) mapping) and finite ...
Mei Yuan +3 more
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Dual Szegö pairs of sequences of rational matrix-valued functions
We study certain sequences of rational matrix-valued functions with poles outside the unit circle. These sequences are recursively constructed based on a sequence of complex numbers with norm less than one and a sequence of strictly contractive matrices.
Andreas Lasarow
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The partial-wave method takes advantage of the Christoffel equation’s generality to represent waves within a waveguide. More specifically, the partial-wave method is well known for its usefulness when calculating dispersion curves for multilayered ...
Christopher Hakoda, Cliff J. Lissenden
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Global Asymptotics for the Christoffel-Darboux Kernel of Random Matrix Theory
The investigation of universality questions for local eigenvalue statistics continues to be a driving force in the theory of Random Matrices. For Matrix Models [53] the method of orthogonal polynomials can be used and the asymptotics of the Christoffel-Darboux kernel [59] become the key for studying universality.
Kriecherbauer, Thomas +3 more
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