On the set of subarcs in some non-postrcritically finite dendrites
Abstract
We construct a family of non-PCF dendrites K in a plane, such that in each of them all subarcs have the same Hausdorff dimension s, while the set of s-dimensional Hausdorff measures of subarcs connecting the given point and a self-similar Cantor subset in K is a Cantor discontinuum.
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