Remarks on periodic Jacobi matrices on trees
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Publication:4987873
DOI10.1063/5.0033702zbMath1462.81095arXiv2010.01701OpenAlexW3153366120MaRDI QIDQ4987873
Barry Simon, Maxim Zinchenko, Jacob Stordal Christiansen
Publication date: 4 May 2021
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2010.01701
Trees (05C05) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
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Cites Work
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- Eigenvalue bounds for perturbations of Schrödinger operators and Jacobi matrices with regular ground states
- Walk generating functions and spectral measures of infinite graphs
- Ramanujan graphs
- Comparison theorems for the gap of Schrödinger operators
- Point spectrum on a quasi homogeneous tree
- Periodic Jacobi matrices on trees
- Optimal Hardy inequalities for Schrödinger operators on graphs
- Basic Complex Analysis
- Group C*-Algebras and the Spectrum of a Periodic Schrödinger Operator on a Manifold
- Discrete Schrödinger operators on a graph
- Point Spectrum of Periodic Operators on Universal Covering Trees
- Spectra of infinite graphs via freeness with amalgamation