The EMS Publishing House is now EMS Press and has its new home at

Please find all EMS Press journals and articles on the new platform.

Zeitschrift für Analysis und ihre Anwendungen

Full-Text PDF (1006 KB) | Metadata | Table of Contents | ZAA summary
Volume 1, Issue 3, 1982, pp. 69–79
DOI: 10.4171/ZAA/20

Published online: 1982-06-30

On Entropy-Like Invariants for Dynamical Systems

Thomas de Paly

This paper transfers the theory of the Kolmogorov-Sinai-entropy a method which is a basic tool in the theory of the order-structure of states. The function $h(x) = —x$ log $z$ is replaced by arbitrary bounded, concave functions in all definitions of the entropy-theory. This procedure leads to a class of isomorphy invariants, thus generalizing the notion of dynamical entropy. The general properties of the generalized dynamical entropies are investigated and an explicit calculation of the new invariants is accomplished on some simple cases.

No keywords available for this article.

de Paly Thomas: On Entropy-Like Invariants for Dynamical Systems. Z. Anal. Anwend. 1 (1982), 69-79. doi: 10.4171/ZAA/20