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I present a brief survey of progress in the understanding of quantum field models, lattice gauge theories and spin systems that has been achieved during the past few years — roughly since the M ∩ ϕ conference in Rome. Significant progress has occurred in the analysis of systems with abelian global or local symmetry groups, such as the Ising — and rotator models, one- and two-component $$\lambda \left|...
Sinqularities in fluid flow my be geometrically unstable. When this instability occurs in a regime governed by the scale invariant Euler equations, the phenomena is repeated on all length scales and leads to chaotic solutions. Turbulence, vortex roll up and fingering are discussed. The increased resolution provided by the method of tracking of discontinuities offers a computational tool for the study...
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