On the set of subarcs in some non-postrcritically finite dendrites
Metric Geometry
2018-12-21 v2
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.
Cite
@article{arxiv.1811.09219,
title = {On the set of subarcs in some non-postrcritically finite dendrites},
author = {Nikolai Abrosimov and Marina Chanchieva and Andrey Tetenov},
journal= {arXiv preprint arXiv:1811.09219},
year = {2018}
}