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Exact spectrum of the Laplacian on a domain in the Sierpinski gasket
Sierpinski gasket Laplacian eigenvalues spectral decimation analysis on fractals
2012/6/27
For a certain domain $\Omega$ in the Sierpinski gasket $\mathcal{SG}$ whose boundary is a line segment, a complete description of the eigenvalues of the Laplacian under the Dirichlet and Neumann bound...
Constructing all self-adjoint matrices with prescribed spectrum and diagonal
Schur-Horn interlacing majorization frames
2011/9/1
Abstract: The Schur-Horn Theorem states that there exists a self-adjoint matrix with a given spectrum and diagonal if and only if the spectrum majorizes the diagonal. Though the original proof of this...
Borel structure of the spectrum of a closed operator
spectrum point spectrum Hilbert space reflexive Banach space Borel set closed operator weak topology
2011/8/29
Abstract: For a linear operator $T$ in a Banach space let $\sigma_p(T)$ denote the point spectrum of $T$, $\sigma_{p[n]}(T)$ for finite $n > 0$ be the set of all $\lambda \in \sigma_p(T)$ such that $\...
Samuel multiplicities and Browder Spectrum of Operator Matrices
Samuel multiplicities Operator matrices Upper semi-Browder operator Upper semi-Browder spectrum
2011/8/23
Abstract: we show that the definitions of some classes of semi-Fredholm operators, which use the language of algebra and first introduced by X. Fang in [8], are equivalent to that of some well-known o...
Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
Spectrum Wilson Dirac Operator Finite Lattice Spacings
2011/3/2
We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac
operator using both chiral Perturbation Theory and chiral Random Matrix Theory. A graded
chiral Lagran...