Visible part of dominated self-affine sets in the plane
Classical Analysis and ODEs
2021-04-22 v3
Abstract
The dimension of the visible part of self-affine sets, that satisfy domination and a projection condition, is being studied. The main result is that the assouad dimension of the visible part equals to 1 for all directions outside the set of limit directions of the cylinders of the self-affine set. The result holds regardless of the overlap of the cylinders. The sharpness of the result is also being discussed.
Keywords
Cite
@article{arxiv.2009.08654,
title = {Visible part of dominated self-affine sets in the plane},
author = {Eino Rossi},
journal= {arXiv preprint arXiv:2009.08654},
year = {2021}
}
Comments
Final draft. 13 pages and 1 figure