Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.

The theory and computation of lattice gas dynamics for viscous fluid hydrodynamics is presented. Theoretical analysis of these exactly conserved, discrete models is done using the Boltzmann approximation, a mean-field theoretical treatment. Theoretical results are then compared to numerical data arrived by exactly computed simulations of simple lattice-gas systems. The numerical simulations presented were carried out on a prototype lattice-gas machine, the CAM-8, which is a virtual finegrained paralled mesh architecture suitable for discrete modeling in arbitrary dimensions. Single speed and multi-speed lattice gases are treated. The new contribution is an integer lattice gas with many particles per momentum state. Comparisons are made between the mean-field theory and numerical experiments for shear viscosity transport coefficient.

A concise introduction to graphs and networks, presenting theoretical concepts at a level accessible to both professionals and students.

This book constitutes the refereed proceedings of the 22nd Annual German Conference on Artificial Intelligence, KI-98, held in Bremen, Germany, in September 1998. The 16 revised full papers presented were carefully reviewed and selected for inclusion in the proceedings. Also included are three invited papers and abstracts of two invited talks, as well as an appendix containing up-to-date descriptions of German AI projects. Thus the volume gives a unique overview of AI research in Germany.