TY  - BOOK
AU  - Exner,Pavel
TI  - Analysis on graphs and its applications: Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, January 8-June 29, 2007 
T2  - Proceedings of symposia in pure mathematics, 
SN  - 9780821893845 (online)
AV  - QA166 .E96 2008
U1  - 511/.5 22
PY  - 2008///
CY  - Providence, R.I.
PB  - American Mathematical Society
KW  - Graph theory
KW  - Congresses
KW  - Quantum graphs
KW  - Combinatorial analysis
KW  - Graphic methods
N1  - Includes bibliographical references; Nodal domains on graphs -- how to count them and why?; Ram Band, Idan Oren and Uzy Smilansky --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459862; Zeta functions of weighted graphs and covering graphs; Matthew D. Horton, H. M. Stark and Audrey A. Terras --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459863; Discrete geometric analysis; Toshikazu Sunada --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459864; Uniform existence of the integrated density of states for combinatorial and metric graphs over $\mathbb {Z}^d$; Michael J. Gruber, Daniel H. Lenz and Ivan Veseli�c --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459865; Bartholdi zeta functions for periodic simple graphs; Daniele Guido, Tommaso Isola and Michel L. Lapidus --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459866; Asymptotic properties of Markov processes on Cayley trees; M. Kelbert and Y. Suhov --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459867; Groups and analysis on fractals; Volodymyr Nekrashevych and Alexander Teplyaev --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459868; Schreier spectrum of the Hanoi Towers group on three pegs; Rostislav Grigorchuk and Zoran �Suni�c --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459869; On the dichotomy in the heat kernel two sided estimates; Alexander Grigoryan and Takashi Kumagai --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459870; Tube formulas for self-similar fractals; Michel L. Lapidus and Erin P. J. Pearse --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459871; Existence of eigenforms on nicely separated fractals; Roberto Peirone --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459872; Trace formulae for quantum graphs; Jens Bolte and Sebastian Endres --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459873; Quantum graphs with spin Hamiltonians; J. M. Harrison --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459874; Quantum graphs and quantum chaos; J. P. Keating --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459875; Quantum graphs: An introduction and a brief survey; Peter Kuchment --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459876; Two constructions of quantum graphs and two types of spectral statistics; G. Berkolaiko --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459877; An example on the discrete spectrum of a star graph; B. M. Brown, M. S. P. Eastham and I. G. Wood --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459878; The HELP inequality on trees; B. Malcolm Brown, Matthias Langer and Karl Michael Schmidt --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459879; Boundary value problems for infinite metric graphs; Robert Carlson --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459880; Remarks about Hardy inequalities on metric trees; Tomas Ekholm, Rupert L. Frank and Hynek Kova�r�ik --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459881; On the spectral gap in Andreev graphs; Holger Flechsig and Sven Gnutzmann --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459882; An inverse spectral problem for Sturm-Liouville operators with singular potentials on star-type graphs; G. Freiling, M. Ignatiev and V. Yurko --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459883; Optimal Wegner estimates for random Schr�odinger operators on metric graphs; Michael J. Gruber, Mario Helm and Ivan Veseli�c --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459884; Contraction semigroups on metric graphs; Vadim Kostrykin, J�urgen Potthoff and Robert Schrader --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459885; Localization in a quasiperiodic model on quantum graphs; Konstantin Pankrashkin --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459886; Equilateral quantum graphs and boundary triples; Olaf Post --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459887; A conditionally convergent trace formula for quantum graphs; B. Winn --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459888; Control problems on quantum graphs; Sergei Avdonin --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459889; Leaky quantum graphs: A review; Pavel Exner --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459890; Thin tubes in mathematical physics, global analysis and spectral geometry; Daniel Grieser --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459891; Simulation of quantum graphs by microwave networks; Oleh Hul, Micha� �awniczak, Szymon Bauch and Leszek Sirko --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459892; Twisting versus bending in quantum waveguides; David Krej�ci�r�ik --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459893; Quantum field theory on star graphs; B. Bellazzini, M. Burrello, M. Mintchev and P. Sorba --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459894; On the skeleton method and an application to a quantum scissor; H. D. Cornean, P. Duclos and B. Ricaud --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459895; Vacuum energy and closed orbits in quantum graphs; S. A. Fulling and J. H. Wilson --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459896; Spectra of graphs and semi-conducting polymers; Philipp Schapotschnikow and Sven Gnutzmann --; http://www.ams.org/pspum/077; http://dx.doi.org/10.1090/pspum/077/2459897; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012
UR  - http://www.ams.org/pspum/077
UR  - http://dx.doi.org/10.1090/pspum/077
ER  -