On Three Levels

Quantum kinetic equations.- Microscopic derivation of hydrodynamics with phase transition in a plasma model.- Ferromagnetism in itinerant electron systems: rigorous examples from flat-band Hubbard models.- Homogeneity in the ground state of the two-dimensional Falicov-Kimball model.- Diffusive limit of the asymmetric simple exclusion: The Navier-Stokes correction.- Weak coupling limit: Feynman diagrams.- Limit laws for recurrence times in expanding maps of an interval.- Stochastic geometric aspects of some quantum spin chains.- The two species totally asymmetric simple exclusion process.- How to reconstruct a heat bath.- Interacting particle systems on non-commutative spaces.- Non-self-averaging effects in sums of random variables, spin glasses, random maps and random walks.- Quantum adiabatic evolution.- Semi-classical inelastic S-matrix for one-dimensional N-states systems.- Gibbsian versus non-Gibbsian measures: some results and some questions in renormalization group theory and stochastic dynamics.- Stabilities and instabilities in classical lattice gas models without periodic ground states.- One-dimensional anomaly of the Fermi surface.- Quantum fluctuation limit: Examples from solid state physics.- Large deviations and the thermodynamic formalism: A new proof of the equivalence of ensembles.- Finitely correlated pure states.- Stationary states of Hamiltonian systems with noise.- Stochastic regularization of coherent-state path integrals and quantum Hall effect.- An ADE- O classification of minimal incompressible quantum Hall fluids.- Simple random walks: New developments.- Symmmetry breaking and long range order in Heisenberg antiferromagnets.- Integrable s = 1/2 quantum spin chains with short-range exchange.- Who is afraid of Griffiths’ singularities?.- Microspectral properties of crystals and their band structure.- Stochastically forced Burgers equation.- Glauber evolution for Kac potentials. Analysis of critical fluctuations: convergence to a nonlinear stochastic PDE.- Local structure of interfaces in a Kawasaki + Glauber particle model.- Quantum chaos, fractal spectra and atomic stabilization.- Statistical properties of random banded matrices: Analytical results.- On the Wulff construction as a problem of equivalence of statistical ensembles.- Scaling profiles of a spreading drop from Langevin or Monte-Carlo dynamics.- Rigorous calculation of collective excitations in a mean field model.- The fluid-dynamical limit for the BBGKY hierarchy of a discrete velocity model.- Isospectral deformation of discrete random Laplacians.- Scattering and the role of operators in Bohmian mechanics.- Towards the Euclidean formulation of quantum statistical mechanics.- Large deviations in the spherical model.- Entropy density and the split property.- Perturbations of quantum canonical relations and Q-independence.- The spectrum of the spin-boson model.- Some results on the projected two-dimensional Ising model.- The second virial coefficient for quantum-mechanical sticky spheres.- Bethe-Ansatz solution of a modified SU(3)-XXZ model.- The quantum mean field state as a limit of canonical states: Maxwell-Boltzmann statistics.- Multifractal properties of discrete stochastic mappings.- Gibbs states of the Chern-Simons charged particle system in the mean-field type limit.- Rigorous Bethe Ansatz for the nonlinear Schrodinger model.- Flat nonregular states on Weyl algebras.- Second virial coefficient for one-dimensional systems.- Self-adjointness and the existence of deterministic trajectories in quantum theory.- An application of the Maes-Shlosman constructive criteria.- Brownian trapping with grouped traps.- Local thermodynamic equilibrium and continuous media: A programme.- Stochastic model of a quantum diffusion-reaction process.- Crystalisation of itinerant electrons.- Molecular chain: dynamical variables, quantization and statistical mechanics.- Quasiparticle’s spin and fractional statistics in the fractional quantum Hall effect.- Participants.