Exotic eigenvalues of shrinking metric graphs
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Publication:6150484
DOI10.1016/j.jmaa.2023.128040arXiv2306.00631OpenAlexW4389720894MaRDI QIDQ6150484
Yves Colin de Verdière, Gregory Berkolaiko
Publication date: 8 February 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.00631
Graph theory (05Cxx) General theory of linear operators (47Axx) General mathematical topics and methods in quantum theory (81Qxx)
Cites Work
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- Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph
- Perturbation theory for linear operators.
- Sur un nouvel invariant des graphes et un critère de planarité. (On a new graph invariant and a planarity criterion)
- Analyticity of resolvents of elliptic operators on quantum graphs with small edges
- Semi-classical measures on quantum graphs and the Gauß map of the determinant manifold
- Limits of quantum graph operators with shrinking edges
- Scale invariant effective Hamiltonians for a graph with a small compact core
- Approximation of a general singular vertex coupling in quantum graphs
- Semigroup methods for evolution equations on networks
- Hermitian symplectic geometry and extension theory
- Boundary Controllability of a Hybrid System Consisting in Two Flexible Beams Connected by a Point Mass
- Kirchhoff's rule for quantum wires
- Ring chains with vertex coupling of a preferred orientation
- Boundary Value Problems, Weyl Functions, and Differential Operators
- Analyticity of the spectrum and Dirichlet-to-Neumann operator technique for quantum graphs
- Inverse scattering for lasso graph
- Quantum graphs: II. Some spectral properties of quantum and combinatorial graphs
- Dependence of the spectrum of a quantum graph on vertex conditions and edge lengths
- Resolvent expansions for self‐adjoint operators via boundary triplets
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