Researchers from mathematics, physics, chemistry, biology, and medicine are finding fractal geometry useful for modelling complicated natural and technical phenomena; stochastics enters into the picture in a canonical way because the most convincing models contain an element of randomness. In 11 papers selected from a conference in Finsterbergen, Germany, in June 1994, some of them offer perspectives on fractal sets and measures, iterated function system, random fractals, dynamical systems, and harmonic analysis on fractals. Annotation c. by Book News, Inc., Portland, Or.