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On Three Levels [1994]

1
Quantum Kinetic Equations
11
Microscopic Derivation of Hydrodynamics with Phase Transition in a Plasma Model
23
Ferromagnetism in Itinerant Electron Systems: Rigorous Examples from Flat-Band Hubbard Models
35
Homogeneity in the Ground State of the Two-Dimensional Falicov-Kimball Model
43
Diffusive Limit of the Asymmetric Simple Exclusion: The Navier-Stokes Correction
53
Weak Coupling Limit: Feynman Diagrams
73
Limit Laws for Recurrence Times in Expanding Maps of an Interval
81
Stochastic Geometric Aspects of Some Quantum Spin Chains
91
The Two Species Totally Asymmetric Simple Exclusion Process
103
How to Reconstruct a Heat Bath
115
Interacting Particle Systems on Non-Commutative Spaces
125
Non-Self-Averaging Effects in Sums of Random Variables, Spin Glasses, Random Maps and Random Walks
139
Quantum Adiabatic Evolution
149
Semi-Classical Inelastic S-Matrix for One-Dimensional N-States Systems
155
Gibbsian versus Non-Gibbsian Measures: Some Results and Some Questions in Renormalization Group Theory and Stochastic Dynamics
161
Stabilities and Instabilities in Classical Lattice Gas Models without Periodic Ground States
165
One Dimensional Anomaly of the Fermi Surface
175
Quantum Fluctuation Limit: Examples from Solid State Physics
183
Large Deviations and the Thermodynamic Formalism: A New Proof of the Equivalence of Ensembles
193
Finitely Correlated Pure States
203
Stationary States of Hamiltonian Systems with Noise
215
Stochastic Regularization of Coherent-State Path Integrals and Quantum Hall Effect
225
An <Emphasis Type="Italic">ADE-O</Emphasis> Classification of Minimal Incompressible Quantum Hall Fluids
233
Simple Random Walks: New Developments
239
Symmetry Breaking and Long Range Order in Heisenberg Antiferromagnets
245
Integrable S=1/2 Quantum Spin Chains with Short-Range Exchange
253
Who is Afraid of Griffiths’ Singularities?
259
Micro Spectral Properties of Crystals and Their Band Structure
265
Stochastically Forced Burgers Equation
271
Glauber Evolution for KAC Potentials Analysis of Critical Fluctuations: Convergence to a Non Linear Stochastic PDE
275
Local Structure of Interfaces in a Kawasaki+Glauber Particle Model
281
Quantum Chaos, Fractal Spectra and Atomic Stabilization
289
Statistical Properties of Random Banded Matrices: Analytical Results
295
On the Wulff Construction as a Problem of Equivalence of Statistical Ensembles
303
Scaling Profiles of a Spreading Drop from Langevin or Monte-Carlo Dynamics
309
Rigorous Calculation of Collective Excitations in a Mean Field Model
315
The Fluid-Dynamical Limit for the BBGKY Hierarchy of a Discrete Velocity Model
321
Isospectral Deformation of Discrete Random Laplacians
331
Scattering and the Role of Operators in Bohmian Mechanics
339
Towards the Euclidean Formulation of Quantum Statistical Mechanics
347
Large Deviations in the Spherical Model
355
Entropy Density and the Split Property
361
Perturbations of Quantum Canonical Relations and <Emphasis Type="Italic">Q</Emphasis>-Independence
367
The Spectrum of the Spin-Boson Model
373
Some Results on the Projected Two-Dimensional Ising Model
381
The Second Virial Coefficient for Quantum-Mechanical Sticky Spheres
385
Bethe-Ansatz Solution of a Modified SU(3)-XXZ-Model
393
The Quantum Mean Field State as a Limit of Canonical States: Maxwell-Boltzmann Statistics
399
Multifractal Properties of Discrete Stochastic Mappings
405
Gibbs States of the Chern-Simons Charged Particle System in the Mean-Field Type Limit
409
Rigorous Bethe Ansatz for the Nonlinear Schroedinger Model
417
Flat Non-Regular States on Weyl Algebras
423
Second Virial Coefficient for One-Dimensional Systems
429
Self-Adjointness and the Existence of Deterministic Trajectories in Quantum Theory
435
An Application of the Maes-Shlosman Constructive Criteria
441
Brownian Trapping with Grouped Traps
445
Local Thermodynamic Equilibrium and Continuous Media: A Programme
451
Stochastic Model of a Quantum Diffusion-Reaction Process
457
Crystalisation of Itinerant Electrons
467
Molecular Chain: Dynamical Variables, Quantization and Statistical Mechanics
471
Quasiparticle’s Spin and Fractional Statistics in the Fractional Quantum Hall Effect
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