| Preface | |
| Introduction | |
| The Detailed Dependence of Solutions of the Schrodinger Equation on Planck's Constant | p. 1 |
| Longtime Behavior of Nonlinear Hamiltonian Systems with a Stochastic Force: Analytical and Numerical Results | p. 14 |
| Low Temperature Expansion around Classical Crystalline Ground States | p. 29 |
| Dixmier Traces and Non-Standard Analysis | p. 39 |
| Moments of Random Fields over a Family of Elliptic Curves and Modular Forms | p. 52 |
| A Random Walk on p-Adic Numbers | p. 61 |
| A Remark on Quasi-Radon Measures | p. 75 |
| A Mathematical Model of Abelian Chern-Simons Theory | p. 86 |
| Recent Studies in Classical Electrodynamics | p. 96 |
| A Statistical Mechanical Approach to Random Geometry | p. 103 |
| Thermodynamic Limits for Euclidean Random Resistors Network | p. 107 |
| Scaling Approach to Site Percolation on Z[superscript 2]: A Numerical Study | p. 117 |
| Commutator Methods: Abstract Developments and Applications to Schrodinger and Dirac Hamiltonians | p. 124 |
| Singular Differential Operators and Associated Processes | p. 134 |
| The Thermodynamic Limit with Few Particles: The 2-D Ising Model with 3-Body Interaction on the Triangular Lattice | p. 143 |
| Liftings of Unitary/Antiunitary Projective Representations of Topological Groups. I | p. 152 |
| Half-Range Completeness for the Fokker-Planck Equation with an External Force | p. 164 |
| Intrinsic Ultracontractivity of Schrodinger Operators with Deep Wells Potentials | p. 174 |
| N-Particle Systems with Zero-Range Interactions | p. 189 |
| Resonances at Bends of a Two-Dimensional Quantum Waveguide | p. 199 |
| Stochastic Control Problems on Real and Complex Symmetric Spaces | p. 209 |
| Bohmian Mechanics and Quantum Equilibrium | p. 221 |
| Navier-Stokes Limit of the Boltzmann Equation | p. 233 |
| Nonstandard Construction of Symmetric Strong Markov Processes Associated with Dirichlet Forms | p. 247 |
| Borel Summability in Finite QED I: Outline and Results | p. 278 |
| The (3x+1)/2 Problem: A Statistical Approach | p. 289 |
| Zero-Time Vectors and the Dynamics in Quantum Field Theory | p. 301 |
| Fractional Relaxation Equations and the Thermo-Rheological Principle | p. 309 |
| Phase Transition in Continuous Systems | p. 321 |
| Fluctuations and Thermodynamic Variables in Mean Field Spin Glass Models | p. 333 |
| C-O-R Generalized Function Algebra Theory and Differential Forms | p. 353 |
| A Review of Stochastic Methods Applied to Petroleum Reservoir Evaluation | p. 364 |
| Lattice Models for Unusual Phases and Transitions in Molecular Systems | p. 389 |
| On the Compatibility between Euclidean and Non-Euclidean Crystallography | p. 396 |
| Distance Non-Preserving Symmetries of Crystals | p. 414 |
| Spectral Properties of Quasiperiodically Driven Quantum Systems | p. 424 |
| Domains of Attraction in Networks of Continuous Neurons | p. 434 |
| Localization of One-Dimensional Random Walks in Random Environments | p. 444 |
| New Probabilistic Results on Semiclassical Quantum Mechanics | p. 453 |
| Phase Transitions in Quantum Models of Ferroelectrics | p. 465 |
| First-Order Phase Transitions for Finite Systems | p. 476 |
| An Infinite Dimensional Fourier Transform | p. 482 |
| Phase Space Density and Fluid Flow: Conservation Laws and Speculations on a Boltzmann Equation Associated with the Stochastic Newton Equation | p. 491 |
| Dirichlet Forms for Quantum Dynamical Semigroups | p. 503 |
| Particle Motion in a Stochastic Periodic Field | p. 512 |
| Quasi Invariant Borel Probability Measures on the Gauge Group C(S[superscript n]; G) | p. 520 |
| Some Applications of the Perturbation Theory for Ruelle-Araki Transfer Operators | p. 526 |
| The Equivalence of Diffusion and Schrodinger Equations: A Solution to Schrodinger's Conjecture | p. 545 |
| Fock Expansion of Operators on White Noise Functionals | p. 557 |
| Remarks on Deformations of Holonomic Structures and Q-Norms in Infinite Dimensions | p. 569 |
| Fixed Scale Transformation Approach to the Fractal Dimension of River Networks | p. 581 |
| Stationary Solutions to Stochastic Partial Differential Equations and Nonstandard Analysis | p. 589 |
| Fractal Nature of a One-Dimensional Expanding Self-Gravitating Universe | p. 597 |
| Brownian Sheet and String Equation: White Noise Approach | p. 599 |
| Non-Causal Forward Stochastic Integration | p. 611 |
| Macroscopic Quantum Theory of Superconductivity and the Higgs Mechanism | p. 634 |
| Highly Diluted Asymmetrical Neural Networks | p. 662 |
| Images, Reflections and Excursions | p. 670 |
| Phonon Limits and Phonon Dynamics | p. 687 |
| Geometric Methods in Nonlinear Analysis: Two Examples from the Theory of Nonlinear Partial Differential Equations | p. 697 |
| Self-Intersection Local Time for Brownian Motion | p. 711 |
| Gibbsian Description and Description by Stochastic Dynamics in the Statistical Mechanics of Lattice Spin Systems with Finite Range Interactions | p. 714 |
| Lectures given at the Meeting which will appear elsewhere and Lectures given at the Symposium Ordine e disordine nella natura | p. 733 |
| List of Participants | p. 735 |
| Table of Contents provided by Blackwell. All Rights Reserved. |
