Estimating the Hausdorff measure by recurrence
Dynamical Systems
2023-08-10 v2
Abstract
We show a new method of estimating the Hausdorff measure (of the proper dimension) of a fractal set from below. The method requires computing the subsequent closest return times of a point to itself.
Cite
@article{arxiv.1911.12992,
title = {Estimating the Hausdorff measure by recurrence},
author = {Ł. Pawelec},
journal= {arXiv preprint arXiv:1911.12992},
year = {2023}
}