Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
Studia Mathematica, Tome 106 (1993) no. 3, pp. 213-231
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_106_3_213_231,
author = {Franz Hofbauer},
title = {Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval {II}},
journal = {Studia Mathematica},
pages = {213--231},
publisher = {mathdoc},
volume = {106},
number = {3},
year = {1993},
doi = {10.4064/sm-106-3-213-231},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-106-3-213-231/}
}
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Franz Hofbauer. Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II. Studia Mathematica, Tome 106 (1993) no. 3, pp. 213-231. doi: 10.4064/sm-106-3-213-231
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