Symbolic dynamics. (Topical Term)

Work cat.: 97-39657: Kitchens, B.P. Symbolic dynamics, c1997: CIP pref. (In the 1930's and 1940's Hedlund and Morse used infinite sequences to investigate geodesics on surfaces of negative curvature. They coined the term symbolic dynamics and began to study sequence spaces with the shift transformation as dynamical systems)

Encyc. math. (symbolic dynamics: 1) in the narrow sense is the investigation of the topological Bernoulli automorphism [sigma], its invariant closed subsets, its invariant measures, etc.; 2) in the broad sense is the application of symbolic dynamics in the narrow sense to the investigation of dynamical systems which themselves are defined completely independently of [omega] and [sigma])

LC database, Aug. 27, 1997 (symbolic dynamics)

Encyc. dict. math.; James math. dict.; Math. subj. classif.; McGraw-Hill dict. sci. tech.