Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
Hofbauer, Franz
Studia Mathematica, Tome 104 (1993), p. 213-231 / Harvested from The Polish Digital Mathematics Library
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We construct examples of expanding piecewise monotonic maps on the interval which have a closed topologically transitive invariant subset A with Darboux property, Hausdorff dimension d ∈ (0,1) and zero d-dimensional Hausdorff measure. This shows that the results about Hausdorff and conformal measures proved in the first part of this paper are in some sense best possible.

Publié le : 1993-01-01
EUDML-ID : urn:eudml:doc:216015 
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     year = {1993},
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Hofbauer, Franz. Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II. Studia Mathematica, Tome 104 (1993) pp. 213-231. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv106i3p213bwm/

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