Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval
Volume 103 / 1992
Studia Mathematica 103 (1992), 191-206
DOI: 10.4064/sm-103-2-191-206
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.