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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



On entropy and generators of measure-preserving transformations

Author: Wolfgang Krieger
Journal: Trans. Amer. Math. Soc. 149 (1970), 453-464
MSC: Primary 28.70
Erratum: Trans. Amer. Math. Soc. 168 (1972), 519.
MathSciNet review: 0259068
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Abstract: Let T be an ergodic measure-preserving transformation of a Lebesgue measure space with entropy $ h(T)$. We prove that T has a generator of size k where $ {e^{h(T)}} \leqq k \leqq {e^{h(T)}} + 1$.

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Keywords: Ergodic measure-preserving transformations, entropy, generators of ergodic measure-preserving transformations, shift-invariant measures, coding
Article copyright: © Copyright 1970 American Mathematical Society