搜索结果: 1-15 共查到“数学 Spectrum”相关记录35条 . 查询时间(0.339 秒)
Dynamical system state need not have spectrum
Dynamic system nonlinear dynamical systems differential equation
2015/8/13
Recently there has been much study of nonlinear dynamical systems (differential equations) which have chaotic solutions. While there is not precise definition of what a chaotic solution is, it is gene...
We develop a nonlinear spectral graph theory, in which the Laplace
operator is replaced by the 1 Laplacian ∆1
. The eigenvalue problem is to
solve a nonlinear system, involving a set valued f...
Distribution of Zeros of Mittag-Leffler Function and Relevant Spectrum Analysis
Eigenvalue of Operator Fractional Derivative Mittag-LefflerFunction Spectrum Analysis
2012/8/10
This paper is devoted to the distribution of eigenvalues of op-
erators generated by differential expressions of fractional order with Sturm-
Liouville regional conditions. In particular it offers a...
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...
Simple Spectrum for Tensor Products of Mixing Map Powers
Tensor Products Mixing Map Powers Dynamical Systems
2011/9/20
Abstract: We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existe...
Pure discrete spectrum in substitution tiling spaces
Pure discrete spectrum Tiling space Substitution
2011/9/14
Abstract: We introduce a procedure for establishing pure discrete spectrum for substitution tiling systems of Pisot family type and illustrate with several examples.
A unified approach to the plus-construction, Bousfield localization, Moore spaces and zero-in-the-spectrum examples
plus-construction Bousfield localization Moore spaces zero-in-the-spectrum K-Theory and Homology
2011/9/14
Abstract: We introduce a construction adding low-dimensional cells to a space that satisfies certain low-dimensional conditions; it preserves high-dimensional homology with appropriate coefficients. T...
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...
Dimension spectrum for a nonconventional ergodic average
Dimension spectrum nonconventional ergodic average Dynamical Systems
2011/8/31
Abstract: We compute the dimension spectrum of certain nonconventional averages, namely, the Hausdorff dimension of the set of $0,1$ sequences, for which the frequency of the pattern 11 in positions $...
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 $\...
Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
Moment inequalities trigonometric polynomials spectrum curved hypersurfaces
2011/8/26
Abstract: Using the multilinear theory of oscillatory integral operators, we establish a square function inequality with implications to moment inequalities for discrete exponential sums which frequen...
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...
Bottom of spectrum of Kahler manifolds with strongly pseudoconvex boundary
Bottom of spectrum of Kahler manifolds pseudoconvex boundary
2011/1/21
The study of the spectrum of the Laplace operator has been a very active subject in Riemannian geometry. In the compact case, the spectrum consists of eigenvalues.On a noncompact complete Riemannian m...
Outliers in the spectrum of iid matrices with bounded rank perturbations
Outliers spectrum of iid matrices bounded rank perturbations
2011/2/24
It is known that if one perturbs a large iid random matrix by a bounded rank error, then the
majority of the eigenvalues will remain distributed according to the circular law. However, the bounded ra...
Triangular spectrum of some triangulated categories
Triangular spectrum triangulated categories
2011/1/18
This paper studies the prime spectrum of two tensor triangulated categories.Triangulated categories have been one of the most influential objects in mathematics.Introduced by Grothendeick and Verdier ...