On the set of subarcs in some non-postrcritically finite dendrites
arXiv:1811.09219
Abstract
We construct a family of non-PCF dendrites in a plane, such that in each of them all subarcs have the same Hausdorff dimension , while the set of -dimensional Hausdorff measures of subarcs connecting the given point and a self-similar Cantor subset in K is a Cantor discontinuum.