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Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval. (English) Zbl 0813.28008
Summary: 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.

##### MSC:
 28D99 Measure-theoretic ergodic theory 54H20 Topological dynamics (MSC2010) 37A99 Ergodic theory 28D05 Measure-preserving transformations 28A78 Hausdorff and packing measures
Zbl 0813.28009
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