Abstract
Throughout the sequel (X,F,m) means a probability space and T is an invertible measure-preserving transformation of the space, which will be referred to as its automorphism. The additive group of integers is denoted by I; hence (Ti, iϵl) means the cyclic group of automorphisms associated with T. For a class of sets C⊂F the notation σC means the sub-σ-algebra of F that is generated by C.
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References
W. Krieger. On entropy and generators of measure preserving transformations. Trans.Amer.Math,Soc. 149 (1970),453–464.
K. Winkelbauer: On the existence of finite generators for inverti-ble measure-preserving transformations. Comm.Math.Univers. Carolinae 18 (1977),789–812.
K. Winkelbauer: Finite generators of minimum cardinality for inver-tible measure-preserving transformations. To appear in:Comm. Math.Univers.Carolinae 21 (1980).
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© 1981 Springer-Verlag New York Inc.
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Winkelbauer, K. (1981). Non-Ergodic Stationary Information Sources. In: The First Pannonian Symposium on Mathematical Statistics. Lecture Notes in Statistics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5934-3_29
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DOI: https://doi.org/10.1007/978-1-4612-5934-3_29
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