Finite coding factors of Markov generators |
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Authors: | M Rahe |
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Institution: | (1) Department of Mathematics, Texas A&M University, 77843 College Station, Texas, USA |
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Abstract: | Using Thouvenot’s relativized isomorphism theory, the author develops a conditionalized version of the Friedman—Ornstein result
on Markov processes. This relativized statement is used to study the way in which a factor generated by a finite length stationary
coding sits in a Markov process. All such factors split off if they are maximal in entropy. Moreover, one can show that if
a finite coding factor fails to split off, it is relatively finite in a larger factor which either generates or itself splits
off. |
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Keywords: | |
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