Category:Kolmogorov-Sinai Entropy

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This category contains results about Kolmogorov-Sinai Entropy.

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

Let $T: X \to X$ be a $\mu$-preserving transformation.

Then the Kolmogorov-Sinai entropy of $T$ is defined as:

$\map h T := \sup \set {\map h {T, \AA}: \text {$\AA$ finite sub-$\sigma$-algebra of $\BB$} }$


$\map h {T, \AA}$ denotes the entropy of $T$ with respect to $\AA$.

Pages in category "Kolmogorov-Sinai Entropy"

The following 2 pages are in this category, out of 2 total.