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Deformations of the Tracy-Widom distribution
(AMER PHYSICAL SOC, 2009)
In random matrix theory, the Tracy-Widom (TW) distribution describes the behavior of the largest eigenvalue. We consider here two models in which TW undergoes transformations. In the first one disorder is introduced in the ...
On The Critical Point Structure of Eigenfunctions Belonging to the First Nonzero Eigenvalue of a Genus Two Closed Hyperbolic Surface
(Science Journal Publication, 2012-05-01)
We develop a method based on spectral graph theory to approximate the eigenvalues and eigenfunctions of the Laplace-Beltrami operator of a compact riemannian manifold. The method is applied to a closed hyperbolic surface ...
Eigenvalue analyses for non-transposed three-phase transmission line considering non-implicit ground wires
(2012-12-11)
This paper presents a method for analyzing electromagnetic transients using real transformation matrices in three-phase systems considering the presence of ground wires. So, for the Z and Y matrices that represent the ...
A numerical scheme for the curvature equation near the singularities
(2005)
In this paper we propose a modification in the usual numerical method for computing the solutions of the curvature equation in the plane . This modification takes place near the singularities of the image. We propose to ...