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Quantum Graphs and Their Applications
About this Title
Gregory Berkolaiko, Robert Carlson, Stephen A. Fulling and Peter Kuchment, Editors
Publication: Contemporary Mathematics
Publication Year:
2006; Volume 415
ISBNs: 978-0-8218-3765-8 (print); 978-0-8218-8094-4 (online)
DOI: https://doi.org/10.1090/conm/415
MathSciNet review: 2279143
ReadershipTable of Contents
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Front/Back Matter
Articles
- Michael Aizenman, Robert Sims and Simone Warzel – Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs [MR 2277604]
- Matthew Baker and Xander Faber – Metrized graphs, Laplacian operators, and electrical networks [MR 2277605]
- Gregory Berkolaiko – Form factor expansion for large graphs: a diagrammatic approach [MR 2277606]
- Jens Bolte and Jonathan Harrison – The spectral form factor for quantum graphs with spin-orbit coupling [MR 2277607]
- Robert Carlson – Linear network models related to blood flow [MR 2277608]
- Kingwood Chen, Stanislav Molchanov and Boris Vainberg – Localization on Avron-Exner-Last graphs. I. Local perturbations [MR 2277609]
- Fan Chung and Ross M. Richardson – Weighted Laplacians and the sigma function of a graph [MR 2277610]
- Pavel Exner and Ondřej Turek – Approximations of permutation-symmetric vertex couplings in quantum graphs [MR 2277611]
- Daniel Fontaine, Thomas Smith and Alexander Teplyaev – Resistance of random Sierpiński gaskets [MR 2277612]
- Mark Freidlin and Matthias Weber – Small diffusion asymptotics for exit problems on graphs [MR 2277613]
- Leonid Friedlander – Determinant of the Schrödinger operator on a metric graph [MR 2277614]
- Stephen A. Fulling – Local spectral density and vacuum energy near a quantum graph vertex [MR 2277615]
- Matthew D. Horton, H. M. Stark and Audrey A. Terras – What are zeta functions of graphs and what are they good for? [MR 2277616]
- J. P. Keating – Fluctuation statistics for quantum star graphs [MR 2277617]
- Vadim Kostrykin and Robert Schrader – Laplacians on metric graphs: eigenvalues, resolvents and semigroups [MR 2277618]
- Stanislav Molchanov and Boris Vainberg – Transition from a network of thin fibers to the quantum graph: an explicitly solvable model [MR 2277619]
- Beng-Seong Ong – On the limiting absorption principle and spectra of quantum graphs [MR 2277620]
- Jacob Rubinstein – Quantum mechanics, superconductivity and fluid flow in narrow networks [MR 2277621]
- Holger Schanz – A relation between the bond scattering matrix and the spectral counting function for quantum graphs [MR 2277622]
- Uzy Smilansky and Michael Solomyak – The quantum graph as a limit of a network of physical wires [MR 2277623]
- B. Winn – On the trace formula for quantum star graphs [MR 2277624]