Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval II
Volume 106 / 1993
Studia Mathematica 106 (1993), 213-231
DOI: 10.4064/sm-106-3-213-231
Abstract
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.
