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Some fundamental problems in global Finsler geometry [PDF]
The geometry and analysis on Finsler manifolds is a very important part of Finsler geometry. In this survey article, we introduce some important and fundamental topics in global Finsler geometry and discuss the related properties and the relationships in
Xinyue Cheng
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On Ambarzumian type theorems for tree domains [PDF]
It is known that the spectrum of the spectral Sturm-Liouville problem on an equilateral tree with (generalized) Neumann's conditions at all vertices uniquely determines the potentials on the edges in the unperturbed case, i.e. case of the zero potentials
Vyacheslav Pivovarchik
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Dynamic Response of the Inertial Platform of the Laser ELI-NP Magurele-Bucharest Facility
Previous studies on the vibrational behavior of the inertial platform installed at ELI-NP, in Magurele-Bucharest have reported eigenfrequencies in the domain in which excitations can occur from earthquakes which manifests itself periodically in this ...
Calin Itu +7 more
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Bernstein-type theorems in hypersurfaces with constant mean curvature
By using the nodal domains of some natural function arising in the study of hypersurfaces with constant mean curvature we obtain some Bernstein-type theorems.
MANFREDO P. DO CARMO, DETANG ZHOU
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Analytical solutions to some generalized and polynomial eigenvalue problems
It is well-known that the finite difference discretization of the Laplacian eigenvalue problem −Δu = λu leads to a matrix eigenvalue problem (EVP) Ax =λx where the matrix A is Toeplitz-plus-Hankel.
Deng Quanling
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Tensor Eigenvalue and SVD from the Viewpoint of Linear Transformation
A linear transformation from vector space to another vector space can be represented as a matrix. This close relationship between the matrix and the linear transformation is helpful for the study of matrices.
Xinzhu Zhao, Bo Dong, Bo Yu, Yan Yu
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Further generalization of symmetric multiplicity theory to the geometric case over a field
Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric ...
Cinzori Isaac +3 more
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The Square of Some Generalized Hamming Graphs
In this paper, we study the square of generalized Hamming graphs by the properties of abelian groups, and characterize some isomorphisms between the square of generalized Hamming graphs and the non-complete extended p-sum of complete graphs.
Yipeng Li, Jing Zhang, Meili Wang
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On a class of H-selfadjont random matrices with one eigenvalue of nonpositive type [PDF]
Large H-selfadjoint random matrices are considered. The matrix $H$ is assumed to have one negative eigenvalue, hence the matrix in question has precisely one eigenvalue of nonpositive type.
Wojtylak, Michal
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We prove that the complex conjugate (c.c.) eigenvalues of a smoothly varying real matrix attract (Eq. 15). We offer a dynamical perspective on the motion and interaction of the eigenvalues in the complex plane, derive their governing equations and ...
Movassagh, Ramis
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