Spectral estimates for infinite quantum graphs
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Publication:1633631
DOI10.1007/s00526-018-1454-3zbMath1404.81111arXiv1711.02428OpenAlexW3102806553MaRDI QIDQ1633631
Noema Nicolussi, Aleksey S. Kostenko
Publication date: 20 December 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.02428
Estimates of eigenvalues in context of PDEs (35P15) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Cites Work
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- New relations between discrete and continuous transition operators on (metric) graphs
- On the spectral gap of a quantum graph
- General Cheeger inequalities for \(p\)-Laplacians on graphs
- Volume growth, spectrum and stochastic completeness of infinite graphs
- Rayleigh estimates for differential operators on graphs
- Pucci eigenvalues on geodesic balls
- Spectral analysis on graph-like spaces
- Unitary dimension reduction for a class of self-adjoint extensions with applications to graph-like structures
- Pure point spectrum and negative curvature for noncompact manifolds
- \(\lambda_ 1\), isoperimetric inequalities for graphs, and superconcentrators
- 1-D Schrödinger operators with local point interactions on a discrete set
- Eigenvalues and expanders
- A relation between growth and the spectrum of the Laplacian
- Some relations between analytic and geometric properties of infinite graphs
- Extremal properties of the first eigenvalue of Schrödinger-type operators
- The spectrum of the continuous Laplacian on a graph
- Quantum Cayley graphs for free groups
- Quantum graphs which optimize the spectral gap
- A characteristic equation associated to an eigenvalue problem on \(c^ 2\)-networks
- The Laplacian on rapidly branching trees
- Dirichlet to Neumann maps for infinite quantum graphs
- Spectral theory of infinite quantum graphs
- Cheeger inequalities for unbounded graph Laplacians
- Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
- Infinite quantum graphs
- A note on self-adjoint extensions of the Laplacian on weighted graphs
- An example of unitary equivalence between self-adjoint extensions and their parameters
- Volume growth and spectrum for general graph Laplacians
- Isoperimetric numbers of graphs
- Volume growth and bounds for the essential spectrum for Dirichlet forms
- Eigenvalue estimates for the Laplacian on a metric tree
- Expander graphs in pure and applied mathematics
- Expander graphs and their applications
- SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS
- Spectral analysis of metric graphs and related spaces
- A note on the isoperimetric constant
- Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
- A duality between Schroedinger operators on graphs and certain Jacobi matrices
- Difference Equations, Isoperimetric Inequality and Transience of Certain Random Walks
- Random Walks on Infinite Graphs and Groups
- Edge connectivity and the spectral gap of combinatorial and quantum graphs
- On the spectrum of the Laplacian on regular metric trees
- Quantum Graphs and Their Applications
- The measure of the critical values of differentiable maps
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