Results 21 to 30 of about 11,653 (147)
Level-Spacing Distributions and the Airy Kernel [PDF]
, 1992 Scaling level-spacing distribution functions in the ``bulk of the spectrum'' in random matrix models of $N\times N$ hermitian matrices and then going to the limit $N\to\infty$, leads to the Fredholm determinant of the sine kernel $\sin\pi(x-y)/\pi (x-y)$.
Tracy, Craig A., Widom, Harold
core +6 more sources
On spectral properties of a fourth-order boundary value problem
Ain Shams Engineering Journal, 2013 In this work, we study a fourth-order boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point.
Erdoğan Şen
doaj +1 more source
On spectral stability of solitary waves of nonlinear Dirac equation on a line [PDF]
, 2012 We study the spectral stability of solitary wave solutions to the nonlinear Dirac equation in one dimension. We focus on the Dirac equation with cubic nonlinearity, known as the Soler model in (1+1) dimensions and also as the massive Gross-Neveu model ...
A. Comech +22 more
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Mixed-mode loading of the structural elements with defect
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In the article the problem of determining the stress-strain state near the mixed-mode crack tip in a power-law material under plane stress conditions is considered. The eigenfunction method is used for the mixed-mode crack tip problem.
Larisa V Stepanova +1 more
doaj +1 more source
Level-Spacing Distributions and the Bessel Kernel [PDF]
, 1993 The level spacing distributions which arise when one rescales the Laguerre or Jacobi ensembles of hermitian matrices is studied. These distributions are expressible in terms of a Fredholm determinant of an integral operator whose kernel is expressible in
A. Edelman +27 more
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Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]
Opuscula Mathematica, 2007 We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
doaj
Dirichlet problem for the mixed type equation with two degeneration lines in a half-strip
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2019 In this article, the first boundary problem for the mixed type equation with two degeneration lines at a half-strip in the class of the regular and limited in infinity decisions is discussed.
Viner Zufarovich Vagapov
doaj +1 more source
Exponential splitting of bound states in a waveguide with a pair of distant windows
, 2003 We consider Laplacian in a straight planar strip with Dirichlet boundary which has two Neumann ``windows'' of the same length the centers of which are $2l$ apart, and study the asymptotic behaviour of the discrete spectrum as $l\to\infty$.
[E?TV] Exner P +11 more
core +1 more source
, 2009 A simple sufficient condition on curved end of a straight cylinder is found that provides a localization of the principal eigenfunction of the mixed boundary value for the Laplace operator with the Dirichlet conditions on the lateral side.
Cardone, G., Durante, T., Nazarov, S. A.
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Asymptotic formulas for eigenvalues and eigenfunctions of boundary value problem
, 2013 In this paper we are concerned with a new class of BVP' s consisting of eigendependent boundary conditions and two supplementary transmission conditions at one interior point. By modifying some techniques of classical Sturm-Liouville theory and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigenfunction.
Mukhtarov, O. Sh., Aydemir, K.
openaire +2 more sources