entropy of a transformation given a partition

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entropy of a transformation given a partition [′en·trə·pē əv ə tranz·fər′mā·shən ′giv·ən ə pär′tish·ən]

(mathematics)

IfTis a measure preserving transformation on a probability space and ξ is a finite partition of the space, the entropy ofTgiven ξ is the limit asn→ ∞ of 1/ntimes the entropy of the partition which is the common refinement of ξ,T^-1ξ, …,T^-n+1ξ.

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