Kolmogorov-Sinai Entropy/Examples

From ProofWiki
Jump to navigation Jump to search

Examples of Kolmogorov-Sinai Entropy

Identity Mapping

Let $\struct {X, \BB, \mu}$ be a probability space.

Let $I_X: X \to X$ be the identity mapping.


Then $I_X$ is $\mu$-preserving and:

$ \map h {I_X} = 0$
Retrieved from "https://proofwiki.org/w/index.php?title=Kolmogorov-Sinai_Entropy/Examples&oldid=583918"