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A note on the relationship of pointwise dimensions of an invariant measure and its natural extension

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Abstract.

In this note we present an estimate on the relationship of lower pointwise dimensions of an invariant measure of a Lipschitz map on a compact metric space and its natural extension.

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Authors and Affiliations

  1. LMAM, School of Mathematical Sciences, Peking University, 100871, Beijing, P. R. China

    P.-D. Liu

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  1. P.-D. Liu
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Correspondence to P.-D. Liu.

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Received: 16 December 2003; revised manuscript accepted: 16 January 2004

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Liu, PD. A note on the relationship of pointwise dimensions of an invariant measure and its natural extension. Arch. Math. 83, 81–87 (2004). https://doi.org/10.1007/s00013-004-1012-4

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  • DOI: https://doi.org/10.1007/s00013-004-1012-4

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