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.
@article{bwmeta1.element.bwnjournal-article-smv103i2p191bwm, author = {Franz Hofbauer}, title = {Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval}, journal = {Studia Mathematica}, volume = {103}, year = {1992}, pages = {191-206}, zbl = {0813.28008}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv103i2p191bwm} }
Hofbauer, Franz. Hausdorff and conformal measures for expanding piecewise monotonic maps of the interval. Studia Mathematica, Tome 103 (1992) pp. 191-206. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv103i2p191bwm/
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