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

MAA Review
Table of Contents

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