Finer Diophantine and Regularity Properties of 1-dimensional Parabolic Ifs
نویسنده
چکیده
Recall that a Borel probability measure μ on IR is called extremal if μ-almost every number in IR is not very well approximable. In this paper, we prove extremality (and implying it the exponentially fast decay property (efd)) of conformal measures induced by 1-dimensional finite parabolic iterated function systems. We also investigate the doubling property of these measures and we estimate from below the Hausdorff dimension of the limit sets of such iterated systems.
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تاریخ انتشار 2005