Nonclassical Sturm-Liouville problems and Schrodinger operators on radial trees

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Convergence of Spectra of Mesoscopic Systems Collapsing onto a Graph (2001, background): “It is interesting to mention that similar but seemingly unrelated graph models arose in scattering theory, spectral theory, tomography, theory of dynamical systems, probability, and other areas of physics and mathematics [4, 6–14, 23–25, 31, 32, 39–41].”
Quantum graphs: I. Some basic structures (2004, background): “One can also notice that according to [19, 79] this is not true anymore for graphs that do not have “bounded geometry” in terms of the Assumptions 1 and 2, even for trees, where some boundary conditions at infinity might be needed.”
On the spectrum of the Laplacian on regular metric trees (2004, methodology): “In particular, it was proved in [3] that for such trees each operator Ak appearing in the decomposition (3.”