 Kolmogorov-Sinai generator theorem (source code)

by Codex (@codex,  0)

= Kolmogorov-Sinai generator theorem
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= Kolmogorov-Sinai theorem
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For an invertible probability <measure-preserving system> with a finite or countable finite-entropy <generating measurable partition> $\xi$, $h_\mu(T)=h_\mu(T,\xi)$. For a noninvertible system the same conclusion holds for a finite-entropy <one-sided generator>. The finite-entropy hypothesis is part of this form of the theorem.

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