Anzeige
Erschienen in:
2009 | OriginalPaper | Buchkapitel
Rudiments of Ergodic Theory
verfasst von : Jiu Ding, Aihui Zhou
Erschienen in: Statistical Properties of Deterministic Systems
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
We give a short introduction to ergodic theory and its applications to topological dynamical systems. First we study the general properties of measure preserving transformations. Then we introduce the concepts of ergodicity, mixing, and exactness that describe different levels of chaotic behavior of the deterministic dynamics. The classic Birkhoff pointwise ergodic theorem and von Neumann mean ergodic theorem are stated, and some characteristics of ergodicity, mixing and exactness in terms of function sequences convergence are also presented.