LEADER 03093nam 2200553 450 001 9910814061903321 005 20180731044622.0 010 $a0-8218-8094-2 010 $a0-8218-3765-6 035 $a(CKB)3240000000069941 035 $a(EBL)3113234 035 $a(SSID)ssj0000629413 035 $a(PQKBManifestationID)11437687 035 $a(PQKBTitleCode)TC0000629413 035 $a(PQKBWorkID)10731693 035 $a(PQKB)11720918 035 $a(MiAaPQ)EBC3113234 035 $a(RPAM)14425744 035 $a(PPN)197107427 035 $a(EXLCZ)993240000000069941 100 $a20060623h20062006 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum graphs and their applications $eproceedings of an AMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications, June 19-23, 2005, Snowbird, Utah /$fGregory Berkolaiko [and three others], editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2006] 210 4$dİ2006 215 $a1 online resource (322 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v415 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references. 327 $a""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"" 327 $a""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"" 327 $a""The Quantum Graph as a Limit of a Network of Physical Wires""""On the Trace Formula for Quantum Star Graphs"" 410 0$aContemporary mathematics (American Mathematical Society) ;$v415. 606 $aQuantum graphs$vCongresses 615 0$aQuantum graphs 676 $a511/.5 702 $aBerkolaiko$b Gregory$f1976- 712 12$aAMS-IMS-SIAM Joint Summer Research Conference on Quantum Graphs and Their Applications 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814061903321 996 $aQuantum graphs and their applications$9732546 997 $aUNINA