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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A Landscape View of Eigenvalues Approximation
特征值近似 景观视图 无序系统
2023/4/24
Waves of all sorts, including electromagnetic waves, acoustic waves, and mechanical vibrations, play a role in shaping our world. In disordered systems, the transport of waves is hindered, resulting i...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Eigenvalues of boundary value problems with transmission conditions and eigenparameter-dependent boundary conditions
传输条件 本征参数 相关边界条件 边值问题 本征值
2023/5/16
In this talk, we mainly show some eigenvalue properties of second order Sturm-Liouville problems and third-order boundary value problems with both transmission conditions and eigenparameter-dependent ...
Eigenvalues of products of unitary matrices and Lagrangian involutions
Unitary representations Parabolic bundles Lagrangian involutions
2015/12/17
This paper introduces a submanifold of the moduli space of unitary representations of the fundamental group of a puncturedsphere with fixedlocal monodromy. The submanifoldis definedvia products of inv...
Method of centers for minimizing generalized eigenvalues
quasiconvex nondifferentiable optimization generalized eigenvalue linear fractional programming analytic center method of centers interior point method logarithmic barrier Newton algorithm path-following method ellipsoidal approximations
2015/8/12
We consider the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices, each of which depends affinely on the decision variables. Although this problem may appear spe...
Homological eigenvalues of mapping classes and torsion homology growth for fibered 3--manifolds
Homological eigenvalues mapping classes torsion homology growth fibered 3--manifolds Group Theory
2012/5/9
Let S be an orientable surface with negative Euler characteristic, let \psi\in\Mod(S) be a mapping class of S, and let T_{\psi} be the mapping torus of \psi. We study the action of lifts of \psi on th...
Tricyclic graphs with exactly two main eigenvalues
Main eigenvalues Tricyclic graphs 2-walk (a, b)-linear graphs
2011/1/18
An eigenvalue of a graph G is called a main eigenvalue if it has an eigenvector the sum of whose entries is not equal to zero. In this paper, all connected tricyclic graphs with exactly two main eigen...
The interior transmission problem and bounds on transmission eigenvalues
interior transmission problem bounds transmission eigenvalues
2010/12/14
We study the interior transmission eigenvalue problem for signdefinite multiplicative perturbations of the Laplacian in a bounded domain. We show that all but finitely many complex transmission eigenv...
Asymptotic Formulas for the Resonance Eigenvalues of the Schrödinger Operator
Asymptotic Formulas Schrö dinger Operator Resonance Eigenvalues
2010/2/26
In this paper, we consider the Schrödinger operators defined by the differential expression Lu= - D u + q(x)u in d-dimensional paralellepiped F, with the Dirichlet and the Neumann boundary condit...