Random dynamical systems
This paper was given as a presentation at the Jahrestagung der DMV in Berlin, 1992. It provides an overview of the theory of random dynamical systems (RDS's), and covers in a very short, but precise way the state of the art in the following areas: 1. Metric, topological, and smooth dynamics, 2. RDS: concept, invariant measures, 3. Generation of RDS, 4. The multiplicative ergodic theorem, 5. Invariant manifolds, stability, 6. Normal forms, Grobman-Hartman theorem, 7. Bifurcation theory, 8. Further areas for research. A list of almost 80 references is provided. The author is currently preparing a monograph ``Random dynamical systems'', which will present the entire area with all the mathematical details.
scientific article; zbMATH DE number 617511