The finitary coding of two Bernoulli schemes with unequal entropies has finite expectation |
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| Authors: | J Serafin |
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| Institution: | aFaculty of Mathematics and Informatics, Technical University Delft, Mekelweg 4, 2628 CD Delft, the Netherlands (until January 1, 1996);bInstitute of Mathematics, Technical University of Wroclaw, Wybrze?e Wyspiańskiego 27, 50-370 Wroclaw, Poland |
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| Abstract: | It is well known that for any two Bernoulli schemes with a finite number of states and unequal entropies, there exists a finitary homomorphism from the scheme with the larger entropy to the one with smaller entropy. We prove that the average number of coordinates in the larger entropy scheme needed to determine one coordinate in the image point is finite. |
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