Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval

Franz Hofbauer

ArticleOriginal scientific text

Title

Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval

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Affiliations

Institut für Mathematik, Universität Wien,, Strudlhofgasse 4, A-1090 Wien, Austria

Abstract

Let A be a topologically transitive invariant subset of an expanding piecewise monotonic map on [0,1] with the Darboux property. We investigate existence and uniqueness of conformal measures on A and relate Hausdorff and conformal measures on A to each other.

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Title

Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval

Affiliations

Abstract

Bibliography