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An entropy estimate for infinite interval exchange transformations

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Abstract

We determine upper bound estimates for minimal entropy growth rates in measure-preserving systems by utilizing the universal representability of such systems by means of interval exchange transformations. Using these estimates, we also establish several criteria for the identification of systems with vanishing entropy.

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Correspondence to Frank Blume.

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Blume, F. An entropy estimate for infinite interval exchange transformations. Math. Z. 272, 17–29 (2012). https://doi.org/10.1007/s00209-011-0919-2

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  • DOI: https://doi.org/10.1007/s00209-011-0919-2

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