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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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The addition theorem for the entropy of transformations of $G$-spaces
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by R. K. Thomas PDF
Trans. Amer. Math. Soc. 160 (1971), 119-130 Request permission

Abstract:

For a measure-preserving transformation $T$ which is a skew-product of a measure-preserving transformation $S$ and a topological group endomorphism $\sigma$, it is shown that the entropy $h$ satisfies the following “addition theorem": $h(T) = h(S) + h(\sigma )$.
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 160 (1971), 119-130
  • MSC: Primary 28A65
  • DOI: https://doi.org/10.1090/S0002-9947-1971-0293064-6
  • MathSciNet review: 0293064