Kolmogorov–Sinai entropy

Layer 0 — Mathematicsin the ergodic-theory subtree

Measure-theoretic entropy h(T) of a transformation: supremum over finite partitions P of h(T,P) = lim (1/n) H(P ∨ T⁻¹P ∨ … ∨ T⁻ⁿ⁺¹P). Complete isomorphism invariant for Bernoulli shifts (Ornstein).

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