Preface; Part I. Quantum Mechanics: 1. On the low density of Boson models: Langevin equation L. Accardi and L. Y. Gang; 2. Schrödinger operators with potentials supported by null sets S. Albeverio, J. E. Fenstad, R. Høegh-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. Schrödinger operators at threshold D. Bollé; 7. Spectral analysis and scattering theory for Schrödinger 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. Schrödinger operators on unusual manifolds P. Exner and P. Šeba; 10. High energy resolvent estimates for Schrödinger 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 Høegh-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. Høegh-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. Høegh-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.