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An analog of the spectral analysis of time series is developed for data in general spaces. This is applied to data from an election in which 5738 people rank ordered five candidates. Group theoret...
Spectral Analysis for Discrete Longitudinal Data.
Let A be a self-adjoint operator on a separable Hilbert space H. Assume that the spectrum of A consists of two disjoint components s0 and s1 such that the set s0 lies in a finite gap of the set s1.
We consider contractions of complexified real cones, as recently introduced by Rugh in [Rugh10]. Dubois [Dub09] gave optimal conditions to determine if a matrix contracts a canonical complex cone. Fir...
The paper deals with the asymptotic behavior as $\eps\to 0$ of the spectrum of Laplace-Beltrami operator $\Delta\e$ on the Riemannian manifold $M\e$ ($\mathrm{\dim} M\e=N\geq 2$) depending on a small ...
A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and lin...
In this paper, we study how the distance spectral radius behaves when the graph is perturbed by grafting edges. As applications, we also determine the graph with $k$ cut vertices (respectively, $k$ cu...
In this paper, we investigate the spectral properties of the adjacency and the Laplacian matrices of random graphs. We prove that: (i) the law of large numbers for the spectral norms and the largest ...
We prove spectral analogues of the classical strong multiplicity one theorem for newforms. Let 􀀀1 and 􀀀2 be uniform lattices in a semisim-ple group G. Suppose all but finitely many i...
A numerical method in Fourier space is developed to solve the polymeric self-consistent field equations. The method does not require a priori sym-metric information. More significantly, periodic struc...

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