03093nam 2200553 450 991081406190332120180731044622.00-8218-8094-20-8218-3765-6(CKB)3240000000069941(EBL)3113234(SSID)ssj0000629413(PQKBManifestationID)11437687(PQKBTitleCode)TC0000629413(PQKBWorkID)10731693(PQKB)11720918(MiAaPQ)EBC3113234(RPAM)14425744(PPN)197107427(EXLCZ)99324000000006994120060623h20062006 uy| 0engur|n|---|||||txtccrQuantum 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 /Gregory Berkolaiko [and three others], editorsProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (322 p.)Contemporary mathematics,0271-4132 ;415Description based upon print version of record.Includes bibliographical references.""Contents""; ""Preface""; ""Fluctuation-Based Proof of the Stability of AC Spectra of Random Operators on Thee 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""""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""Contemporary mathematics (American Mathematical Society) ;415.Quantum graphsCongressesQuantum graphs511/.5Berkolaiko Gregory1976-AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their ApplicationsMiAaPQMiAaPQMiAaPQBOOK9910814061903321Quantum graphs and their applications732546UNINA