AMS/IP Studies in Advanced Mathematics 1999; 528 pp; softcover Volume: 13 ISBN10: 0821820060 ISBN13: 9780821820063 List Price: US$79 Member Price: US$63.20 Order Code: AMSIP/13
 This volume presents the proceedings of the conference on "Trends in Mathematical Physics" held at the University of Tennessee. The conference drew international experts from mathematical and computational physics. The following topics were addressed: superstrings and quantum gravity, pattern formation, and crystallographic topology. The cuttingedge research reflected in the extensive surveys in the book are written for a diverse audience. Titles in this series are copublished with International Press of Boston, Inc., Cambridge, MA. Readership Graduate students, research mathematicians, and physicists interested in quantum theory. Table of Contents  R. R. Aldinger  Berry's connection in a quantum relativistic description of the curved space analogue of development
 I. G. Avramidi and G. Esposito  Heatkernel asymptotics of the GilkeySmith boundaryvalue problem
 I. G. Avramidi and G. Esposito  On ellipticity and gauge invariance in Euclidean quantum gravity
 A. L. Bertozzi, A. Münch, and M. Shearer  Undercompressive waves in driven thin film flow: Theory, computation, and experiment
 A. V. Bogdanov, A. S. Gevorkyan, and A. G. Grigoryan  Internal time peculiarities as a cause of bifurcations arising in classical trajectory problem and quantum chaos creation in threebody systems
 A. V. Bogdanov, A. S. Gevorkyan, and A. G. Grigoryan  Random motion of quantum harmonic oscillatorThermodynamics of nonrelativistic vacuum
 A. J. Bordner  A new formulation of Lax pairs for generalized CalogeroMoser models
 G. Chalmers and K. Schalm  Fourpoint correlation functions in the AdS/CFT correspondence
 S. A. Cherkis  Gravitational instantons and moduli spaces
 E. Cremmer, B. Julia, H. Lü, and C. N. Pope  Superdualities and twisted selfduality
 I. Dasgupta  Boomerons in field theory
 M. J. Duff  A layman's guide to \(M\)theory
 J. K. Elwood  Family symmetry, the anomalous \(U(1)\), and neutrino mixing
 D. Ennyu, H. Kawabe, and N. Nakazawa  Stochastic quantization approach to \(c \leq 1\) openclosed string field theories
 C. D. Fosco  Gauge invariance and effective actions at finite temperature
 I. Giannakis  Superconformal deformations and spacetime symmetries
 M. E. Glicksman  Nonlinear patterns in microstructures
 C. R. Hagen  Nonthermalizability of a quantum field theory
 R. A. Hefferlin  Field theory for chemical spaces
 J. Hoppe  From functions to matrices
 E. Horozov and A. Kasman  Duality and construction of quantum integrable systems
 G. Huisken  Geometric concepts for the mass in general relativity
 C. K. Johnson  Crystallographic topology 2: Overview and work in progress
 I. I. Kogan and O. A. Soloviev  Gravitationally dressed RG flows, zigzag symmetry and zerotension strings
 C. LeBrun  Einstein metrics and the Yamabe problem
 R. LópezAlemán  Numerical evolution in time of curvature perturbations in Kerr black holes
 A. Ludu and J. P. Draayer  Nonlinearity and selfsimilarity: Wavelets and compactons on a physical background
 B. A. Magradze  On analytic approach to perturbative quantum chromodynamics
 C. Michael  Lattice gauge theory
 R. I. Nepomechie  Integrable models with boundary
 H. Neuberger  Mathematical aspects of chiral gauge theories on the lattice
 L. A. Pando Zayas  The statistical entropy of black holes and the \(AdS_3\) geometry
 E. M. Rabei  Canonical treatment of regular Lagrangians with holonomic constraints as singular systems
 C. Rasinariu, U. P. Sukhatme, and A. Gangopadhyaya  Algebraic shape invariant models
 W. RiveraGallego  Molecular configurations and Euclidean distance matrices
 I. A. Shovkovy  Derivative expansion of the oneloop effective action in QED
 C. H. Taubes  Nonlinear generalizations of a 3manifold's Dirac operator
 C.L. Wu  Dynamical symmetry approach to quantum manybody problems
