Quantum graphs and their applications : proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah / [electronic resource]
Gregory Berkolaiko ... [et al.], editors.
- Providence, R.I. : American Mathematical Society, c2006.
- 1 online resource (ix, 307 p. : ill.)
- Contemporary mathematics, v. 415 0271-4132 (print); 1098-3627 (online); .
- Contemporary mathematics (American Mathematical Society) ; 415. .
Includes bibliographical references.
Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs / Metrized graphs, Laplacian operators, and electrical networks / Form factor expansion for large graphs: a diagrammatic approach / The spectral form factor for quantum graphs with spin-orbit coupling / Linear network models related to blood flow / Localization on Avron-Exner-Last graphs. I. Local perturbations / Weighted Laplacians and the sigma function of a graph / Approximations of permutation-symmetric vertex couplings in quantum graphs / Resistance of random Sierpi�nski gaskets / Small diffusion asymptotics for exit problems on graphs / Determinant of the Schr�odinger operator on a metric graph / Local spectral density and vacuum energy near a quantum graph vertex / What are zeta functions of graphs and what are they good for? / Fluctuation statistics for quantum star graphs / Laplacians on metric graphs: eigenvalues, resolvents and semigroups / Transition from a network of thin fibers to the quantum graph: an explicitly solvable model / On the limiting absorption principle and spectra of quantum graphs / Quantum mechanics, superconductivity and fluid flow in narrow networks / A relation between the bond scattering matrix and the spectral counting function for quantum graphs / The quantum graph as a limit of a network of physical wires / On the trace formula for quantum star graphs / Michael Aizenman, Robert Sims and Simone Warzel -- Matthew Baker and Xander Faber -- Gregory Berkolaiko -- Jens Bolte and Jonathan Harrison -- Robert Carlson -- Kingwood Chen, Stanislav Molchanov and Boris Vainberg -- Fan Chung and Ross M. Richardson -- Pavel Exner and Ond�rej Turek -- Daniel Fontaine, Thomas Smith and Alexander Teplyaev -- Mark Freidlin and Matthias Weber -- Leonid Friedlander -- Stephen A. Fulling -- Matthew D. Horton, H. M. Stark and Audrey A. Terras -- J. P. Keating -- Vadim Kostrykin and Robert Schrader -- Stanislav Molchanov and Boris Vainberg -- Beng-Seong Ong -- Jacob Rubinstein -- Holger Schanz -- Uzy Smilansky and Michael Solomyak -- B. Winn -- http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07856 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07857 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07858 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07859 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07860 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07861 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07862 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07863 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07864 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07865 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07866 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07867 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07868 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07869 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07870 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07871 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07872 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07873 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07874 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07875 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07876
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821880944 (online)
Quantum graphs--Congresses.
QA166.165 / .A47 2006
511/.5
Includes bibliographical references.
Fluctuation-based proof of the stability of ac spectra of random operators on tree graphs / Metrized graphs, Laplacian operators, and electrical networks / Form factor expansion for large graphs: a diagrammatic approach / The spectral form factor for quantum graphs with spin-orbit coupling / Linear network models related to blood flow / Localization on Avron-Exner-Last graphs. I. Local perturbations / Weighted Laplacians and the sigma function of a graph / Approximations of permutation-symmetric vertex couplings in quantum graphs / Resistance of random Sierpi�nski gaskets / Small diffusion asymptotics for exit problems on graphs / Determinant of the Schr�odinger operator on a metric graph / Local spectral density and vacuum energy near a quantum graph vertex / What are zeta functions of graphs and what are they good for? / Fluctuation statistics for quantum star graphs / Laplacians on metric graphs: eigenvalues, resolvents and semigroups / Transition from a network of thin fibers to the quantum graph: an explicitly solvable model / On the limiting absorption principle and spectra of quantum graphs / Quantum mechanics, superconductivity and fluid flow in narrow networks / A relation between the bond scattering matrix and the spectral counting function for quantum graphs / The quantum graph as a limit of a network of physical wires / On the trace formula for quantum star graphs / Michael Aizenman, Robert Sims and Simone Warzel -- Matthew Baker and Xander Faber -- Gregory Berkolaiko -- Jens Bolte and Jonathan Harrison -- Robert Carlson -- Kingwood Chen, Stanislav Molchanov and Boris Vainberg -- Fan Chung and Ross M. Richardson -- Pavel Exner and Ond�rej Turek -- Daniel Fontaine, Thomas Smith and Alexander Teplyaev -- Mark Freidlin and Matthias Weber -- Leonid Friedlander -- Stephen A. Fulling -- Matthew D. Horton, H. M. Stark and Audrey A. Terras -- J. P. Keating -- Vadim Kostrykin and Robert Schrader -- Stanislav Molchanov and Boris Vainberg -- Beng-Seong Ong -- Jacob Rubinstein -- Holger Schanz -- Uzy Smilansky and Michael Solomyak -- B. Winn -- http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07856 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07857 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07858 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07859 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07860 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07861 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07862 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07863 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07864 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07865 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07866 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07867 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07868 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07869 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07870 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07871 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07872 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07873 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07874 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07875 http://www.ams.org/conm/415/ http://dx.doi.org/10.1090/conm/415/07876
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821880944 (online)
Quantum graphs--Congresses.
QA166.165 / .A47 2006
511/.5