Fundamental problems in statistical mechanics VIII : proceedings of the Eighth Summer School on Fundamental Problems in Statistical Mechanics, Altenberg, Germany, 28 June - 10 July, 1993
Dynamical impurity problems, V.J. Emery and S.A. Kivelson bosons in a random potential, A.P. Young statistical mechanics of vortices in type-II superconductors, D.A. Huse and L.R. Radzihovsky correlation functions of solvable models, B. Nienhuis random matrices and two-dimensional gravity, F. David aperiodic structures - geometry, diffraction spectra, and physical properties, J.M. Luck universal aspects of interacting lines and surfaces, M. Lassig and R. Lipowsky phase transitions in colloidal dispersions, H.N.W. Lekkerkerker and G.J. Vroege polymers, both living and dead, M.E. Cates amplitude equations for pattern forming systems, M. van Hecke et al turbulence and Navier-Stokes-equations, S. Grossmann.
Dynamical impurity problems, V.J. Emery and S.A. Kivelson bosons in a random potential, A.P. Young statistical mechanics of vortices in type-II superconductors, D.A. Huse and L.R. Radzihovsky correlation functions of solvable models, B. Nienhuis random matrices and two-dimensional gravity, F. David aperiodic structures - geometry, diffraction spectra, and physical properties, J.M. Luck universal aspects of interacting lines and surfaces, M. Lassig and R. Lipowsky phase transitions in colloidal dispersions, H.N.W. Lekkerkerker and G.J. Vroege polymers, both living and dead, M.E. Cates amplitude equations for pattern forming systems, M. van Hecke et al turbulence and Navier-Stokes-equations, S. Grossmann.
General principles of statistical mechanics, P.A. Pearce the connection between statistical mechanics and quantum field theory, B.M. McCoy two-dimensional models in statistical mechanics, R.J. Baxter topics in conformal field theory, C. Itzykson quantum gravity as dynamical triangulation, A.A. Migdal lattice gauge theory, C.J. Hamer quantum groups for physicists, M. Gould chaos versus order in Hamiltonian dynamical systems, G.R.W. Quispel quantum and classical integrable systems and statistical mechanics, R.K. Bullough and J.T. Timonen introduction to quantum field theory, R.J. Crewther.
Remarks on the development of statistical mechanics, C.N. Yang relativistic Bethe Ansatz and its applications, A. Zamolodchikov knots and statistical physics, F.Y. Wu correlation functions of exactly solvable models of statistical mechanics, V. Korepin type II superconductivity, D.A. Huse bose glass phase and vertex entanglement in superconductors, D. Nelson problems in self-assembling systems - from weak aggregates to biological membranes, M. Schick statistical mechanics of self-avoiding surfaces and membranes, F. David statistical problems in knot theory and noncommutative random walks, S. Nechaev universality in properties of disordered and chaotic systems, B. Alt'shuler. (Part Contents).
Preface Part I. Quantum Mechanics: 1. On the low density of Boson models: Langevin equation L. Accardi and L. Y. Gang 2. Schrodinger operators with potentials supported by null sets S. Albeverio, J. E. Fenstad, R. Hoegh-Krohn, W. Karwowski and T. Lindstrom 3. Landau Hamiltonians on symmetric spaces J. E. Avron and A. Pnueli 4. Renormalization group analysis and quasicrystals J. Bellissard 5. The measurement problem in the stochastic formulation of quantum mechanics Ph. Blanchard, M. Cini and M. Serva 6. Schrodinger operators at threshold D. Bolle 7. Spectral analysis and scattering theory for Schrodinger operators with an interaction supported by a regular curve J. F. Brasche and A. Teta 8. Lattice models of solids V. V. Evstratov and B. S. Pavlov 9. Schrodinger operators on unusual manifolds P. Exner and P. Seba 10. High energy resolvent estimates for Schrodinger operators A. Jensen 11. Point interactions as solvable models W. Kirsch 12. Stochastic model of quantum mechanics V. P. Maslov Part II. Quantum Field Theory: 13. Maximality of infinite dimensional Dirichlet forms and Hoegh-Krohn's model of quantum fields S. Albeverio and S. Kusuoka 14. Global Markov property in quantum field theory and statistical mechanics: a review on results and problems S. Albeverio and B. Zegarlinski 15. Hypercontractivity: a bibliographic review E. B. Davies, L. B. Gross and B. Simon 16. Progress and problems in algebraic quantum field theory S. Doplicher 17. Hoegh-Krohn's model of quantum fields and the absolute continuity of measures S. Kusuoka 18. Baryon states in lattice QCD R. A. Minlos and E. A. Zhinzhina 19. The energy of a Weyl soliton R. F. Streater Part III. Statistical Physics: 20. Morphology and classification of galaxies: a stochastic model S. Albeverio, Ph. Blanchard, D. Gandolfo, R. Hoegh-Krohn and M. Mebkhout 21. Thermodynamic inequalities for the surface tension and the geometry of the Wulff construction R. L. Dobrushin and S. B. Shlosman 22. Verification of the global Markov property for strongly coupled trigonometric interactions R. Gielerak 23. Decomposition of Ising models and the Mayer expansion C. M. Newman and G. A. Baker, Jr 24. Towards time-dynamics for bosonic systems in quantum statistical mechanics A. G. Shuhov, Yu. M. Suhov and A. V. Teslenko 25. Towards time-dynamics for bosonic systems in quantum statistical mechanics, 2 A. G. Shuhov and Yu. M. Suhov.
Part 1 Satellite meeting of Statphys-19: quantum domains in ferromagnetic anisotropic Heisenberg chains, F.C. Alcaraz et al algebraic solution of the coincidence problem for crystals and quasi crystals, M. Baake reflection equations and surface critical phenomena, M.T. Batchelor quantum field theories in terms of group-valued local fields - an overview, L.L. Chau U(1)-invariant local and integrable lattice formulation of the massive Thirring model, C. Destri dilute algebras and solvable lattice models, U. Grimm quantum group and the Hofstadter problem, Y. Hatsugai et al domain walls in the spin-S quantum Ising chain, M. Henkel mutual exclusion statistics in the exactly solvable model of the Mott metal-insulator transition, M. Kohmoto et al boundary Yang-Baxter in the RSOS/SOS representation, W.M. Koo and C. Ahn probability of phase separation and two point temperature correlation functions for the Bose gas with delta interaction, V.E. Korepin and A.R. Its the generalized chiral clock model and its phase diagram, H. Au-Yang and J.H.H. Perk stochastic reaction-diffusion processes, operator algebras and integrable quantum spin chains, G.M. Schutz vertex-face correspondence in elliptic solutions of the Yang-Baxter equation, Y. Shibukawa logarithmic anomalies of susceptibility for solvable models, M. Takahashi on chiral Hubbard model at strong interaction, D.F. Wang soluble free-fermion models in d dimensions, F.Y. Wu bosonization based on Bethe Ansatz equations and proof of the conformal conjecture, Y.S. Wu and Y Yu. Part 3 The seventh Nankai workshop: one dimensional lattice models of electrons with r2 hopping and exchange, Ch. Gruber and D.F. Wang symmetry group invariants for spontaneous magnetization, J.-M. Maillard Zamolodchikov-Faddeev algebra vertex models, H.-P. Eckle scaling properties of the Ising model in a field, U. Grimm and B. Nienhuis experimental realizations of integrable reaction-diffusion processes in biological and chemical systems, G.M. Schutz and other papers. (Part contents).
Exact results for interface structure and wetting functional relations for sl(3) Chiral Potts model at q2=-1 facet shapes in a Wulff Crystal macroscopic description of phase separation in the 2D Ising model Peierls instability for the Holstein model Falicov-Kimball models - a partial review of the ground states problem Hubbard model with magnetic field - antiferromagnetism and paramagnetism quantum hall effect without divergence of the localization length on quantum stochastic dynamics for quantum spin systems on a lattice - low temperature problem interface states of quantum spin systems thermodynamic behaviour of the Bogoliubov Weakly imperfect Bose gas sum rules for Coulomb systems with hard cores ground state energy of the low density Bose gas universality and scaling in random matrix models and random polynomials KAM-renormalization-group for Hamiltonian systems with two degrees of freedom on the landscape of attractors in a neural network with interacting patterns potentials for one-dimensional restrictions of Gibbs measures. (Part contents)
Open questions related with heavy electrons, H.R. Ott electron spectroscopy of strongly correlated systems, J.W. Allen single hole in 1D and 2D hubbard model, S. Sorella surface acoustic wave studies of the FQHE, R.L. Willett Chern-Simons-Landau-Ginzburg theory of the FQHE and its experimental prediction, S.C. Zhang magnetic fluctuations in La2-xSrxCuO4, G. Aeppli single particle spectral function for the large U Hubbard model, P. Wolfe strongly correlated systems in infinite dimensions and their zero-dimensional counterpart, G. Kotliar stable hc-e vortices in a gauge theory of superconductivity in strongly correlated systems, S. Sachdev electronic mechanisms for superconductivity in doped C60, G. Baskaran weakly correlated electrons - many questions and few answers, H.J. Schulz normal state properties of the high Tc oxides - gauge theories, L. Loffe single particle and optical gaps in charge-transfer insulators, Y. Bang et al a renormalization group approach for many-Fermion problems, R. Shankar spin singlet quantum hall effect and nonabelian Landau-Ginzburg theory, A. Balatsky De Haas-Van Alphen and Shubnikov-De Haas oscillations in strongly correlated electron gas, P. Lederer et al strongly correlated Fermi liquid and the normal state of high Tc superconductors, Z. Wang determinant Monte Carlo for the Hubbard model with arbitrarily gauged auxiliary fields, A.M. Tremblay spin-charged coupling in doped Mott insulators, J. Wheatley.