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An Elementary Proof of Abramov’s Result on the Entropy of a Flow

An Elementary Proof of Abramov’s Result on the Entropy of a Flow

Let T be an automorphism on a probability space (Ω, B, P) . Given a finite partition α of Ω , into disjoint measurable sets A 1 , A 2 , · · ·, A n , its entropy is (D.1)