Includes bibliographical references.

Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs / Michael Aizenman, Robert Sims and Simone Warzel -- Metrized graphs, Laplacian operators, and electrical networks / Matthew Baker and Xander Faber -- Form factor expansion for large graphs: a diagrammatic approach / Gregory Berkolaiko -- The spectral form factor for quantum graphs with spin-orbit coupling / Jens Bolte and Jonathan Harrison -- Linear network models related to blood flow / Robert Carlson -- Localization on Avron-Exner-Last graphs. I. Local perturbations / Kingwood Chen, Stanislav Molchanov and Boris Vainberg -- Weighted Laplacians and the sigma function of a graph / Fan Chung and Ross M. Richardson -- Approximations of permutation-symmetric vertex couplings in quantum graphs / Pavel Exner and Ond�rej Turek -- Resistance of random Sierpi�nski gaskets / Daniel Fontaine, Thomas Smith and Alexander Teplyaev -- Small diffusion asymptotics for exit problems on graphs / Mark Freidlin and Matthias Weber -- Determinant of the Schr�odinger operator on a metric graph / Leonid Friedlander -- Local spectral density and vacuum energy near a quantum graph vertex / Stephen A. Fulling -- What are zeta functions of graphs and what are they good for? / Matthew D. Horton, H. M. Stark and Audrey A. Terras -- Fluctuation statistics for quantum star graphs / J. P. Keating -- Laplacians on metric graphs: eigenvalues, resolvents and semigroups / Vadim Kostrykin and Robert Schrader -- Transition from a network of thin fibers to the quantum graph: an explicitly solvable model / Stanislav Molchanov and Boris Vainberg -- On the limiting absorption principle and spectra of quantum graphs / Beng-Seong Ong -- Quantum mechanics, superconductivity and fluid flow in narrow networks / Jacob Rubinstein -- A relation between the bond scattering matrix and the spectral counting function for quantum graphs / Holger Schanz -- The quantum graph as a limit of a network of physical wires / Uzy Smilansky and Michael Solomyak -- On the trace formula for quantum star graphs / B. Winn --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

Description based on print version record.