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Transformations on [0, 1] with infinite invariant measures

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Abstract

Under certain regularity conditions a real transformation with indifferent fixed points has an infinite invariant measure equivalent to Lebesgue measure. In this paper several ergodic properties of such transformations are established.

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  1. Mathematisches Institut, Petersbrunnstrasse 19, A-5020, Salzburg, Austria

    Maximilian Thaler

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  1. Maximilian Thaler
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Thaler, M. Transformations on [0, 1] with infinite invariant measures. Israel J. Math. 46, 67–96 (1983). https://doi.org/10.1007/BF02760623

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  • DOI: https://doi.org/10.1007/BF02760623

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