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Quantum Graphs and Their Applications

Gregory Berkolaiko, Robert Carlson, Stephen A. Fulling, and Peter Kuchment, editors
Publisher: 
American Mathematical Society
Publication Date: 
2006
Number of Pages: 
307
Format: 
Paperback
Series: 
Contemporary Mathematics 415
Price: 
89.00
ISBN: 
0821837656
Category: 
Proceedings
We do not plan to review this book.

  • M. Aizenman, R. Sims, and S. Warzel -- Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs
  • M. Baker and X. Faber -- Metrized graphs, Laplacian operators, and electrical networks
  • G. Berkolaiko -- Form factor expansion for large graphs: A diagrammatic approach
  • J. Bolte and J. Harrison -- The spectral form factor for quantum graphs with spin-orbit coupling
  • R. Carlson -- Linear network models related to blood flow
  • K. Chen, S. Molchanov, and B. Vainberg -- Localization on Avron-Exner-last graphs: I. Local perturbations
  • F. Chung and R. M. Richardson -- Weighted Laplacians and the sigma function of a graph
  • P. Exner and O. Turek -- Approximations of permutation-symmetric vertex couplings in quantum graphs
  • D. Fontaine, T. Smith, and A. Teplyaev -- Resistance of random Sierpinski gaskets
  • M. Freidlin and M. Weber -- Small diffusion asymptotics for exit problems on graphs
  • L. Friedlander -- Determinant of the Schrödinger operator on a metric graph
  • S. A. Fulling -- Local spectral density and vacuum energy near a quantum graph vertex
  • M. D. Horton, H. M. Stark, and A. A. Terras -- What are zeta functions of graphs and what are they good for?
  • J. P. Keating -- Fluctuation statistics for quantum star graphs
  • V. Kostrykin and R. Schrader -- Laplacians on metric graphs: Eigenvalues, resolvents and semigroups
  • S. Molchanov and B. Vainberg -- Transition from a network of thin fibers to the quantum graph: An explicitly solvable model
  • B.-S. Ong -- On the limiting absorption principle and spectra of quantum graphs
  • J. Rubinstein -- Quantum mechanics, superconductivity and fluid flow in narrow networks
  • H. Schanz -- A relation between the bond scattering matrix and the spectral counting function for quantum graphs
  • U. Smilansky and M. Solomyak -- The quantum graph as a limit of a network of physical wires
  • B. Winn -- On the trace formula for quantum star graphs

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