Quantum Graphs and Their Applications

Author:   Gregory Berkolaiko ,  Robert Carlson ,  Stephen A. Fulling ,  Peter A. Kuchment
Publisher:   American Mathematical Society
Edition:   illustrated Edition
Volume:   No. 415
ISBN:  

9780821837658


Pages:   307
Publication Date:   30 October 2006
Format:   Paperback
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

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Quantum Graphs and Their Applications


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Author:   Gregory Berkolaiko ,  Robert Carlson ,  Stephen A. Fulling ,  Peter A. Kuchment
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   illustrated Edition
Volume:   No. 415
Weight:   0.558kg
ISBN:  

9780821837658


ISBN 10:   0821837656
Pages:   307
Publication Date:   30 October 2006
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable   Availability explained
The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you.

Table of Contents

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

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