 Entropy rate of a measurable partition

ID: entropy-rate-of-a-measurable-partition

ξ

h_{μ} (T, ξ) = lim_{N \to \infty} \frac{1}{N} H_{μ} (⋁_{n = 0}^{N - 1} T^{- n} ξ) .

The numerator is a subadditive sequence, so the limit exists and equals the infimum of the displayed ratios.

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