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On entropy and information gain in random fields

✍ Scribed by Hans Föllmer


Publisher
Springer
Year
1973
Tongue
English
Weight
481 KB
Volume
26
Category
Article
ISSN
1432-2064

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For any 1 1 measure-preserving map T of a probability space, consider the [T, T &1 ] endomorphism and the corresponding decreasing sequence of \_-algebras. We demonstrate that if the decreasing sequence of \_-algebras generated by [T, T &1 ] and [S, S &1 ] are isomorphic, then T and S must have equa