Quantum graphs on radially symmetric antitrees

DOI10.4171/JST/346zbMath1483.81074arXiv1901.05404OpenAlexW2911203323MaRDI QIDQ2247196

Noema Nicolussi, Aleksey S. Kostenko

Publication date: 17 November 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.05404

zbMATH Keywords

spectrumself-adjointnessquantum graphantitree

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Sturm-Liouville theory (34B24) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary value problems on graphs and networks for ordinary differential equations (34B45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

Szegő condition, scattering, and vibration of Krein strings ⋮ Self‐adjoint and Markovian extensions of infinite quantum graphs ⋮ A spectral Szegő theorem on the real line ⋮ Exact Hausdorff dimension of the spectral measure for the graph Laplacian on a sparse tree

Cites Work

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• Volume growth, spectrum and stochastic completeness of infinite graphs
• On stochastic completeness of jump processes
• Spectral analysis on graph-like spaces
• The absolutely continuous spectrum of Jacobi matrices
• The structure of the continuous spectrum of a one-dimensional Schrödinger operator with point interactions
• Geometry of Sobolev spaces on regular trees and the Hardy inequalities
• 1-D Schrödinger operators with local point interactions on a discrete set
• Spectral theory of ordinary differential operators
• A relation between growth and the spectrum of the Laplacian
• Spectral estimates for infinite quantum graphs
• Spectral theory of a string
• Spectral theory of infinite quantum graphs
• A spectral Szegő theorem on the real line
• Cheeger inequalities for unbounded graph Laplacians
• Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees
• Canonical systems with discrete spectrum
• On the decomposition of the Laplacian on metric graphs
• A note on the volume growth criterion for stochastic completeness of weighted graphs
• Anderson transition at two-dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
• Intrinsic Metrics on Graphs: A Survey
• Volume growth and bounds for the essential spectrum for Dirichlet forms
• Spectral analysis of certain spherically homogeneous graphs
• Curvature Calculations for Antitrees
• SINGULAR SPECTRUM FOR RADIAL TREES
• On the spectral functions of the string
• Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds
• Analysis on local Dirichlet spaces. I. Recurrence, conservativeness and Lp-Liouville properties.
• Eigenvalue Estimates for the Weighted Laplacian on Metric Trees
• Strong Isoperimetric Inequality for Tessellating Quantum Graphs
• Stochastically Incomplete Manifolds and Graphs
• Volume growth and stochastic completeness of graphs
• On the spectrum of the Laplacian on regular metric trees
• Quantum Graphs and Their Applications
• Hardy's inequality with weights

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