Visible part of dominated self-affine sets in the plane

Authors

  • Eino Rossi University of Helsinki, Department of Mathematics and Statistics

Keywords:

Visible part, self-affine, weak tangent

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.

 

Section
Articles

Published

2021-09-06

How to Cite

Rossi, E. (2021). Visible part of dominated self-affine sets in the plane. Annales Fennici Mathematici, 46(2), 1089–1103. Retrieved from https://afm.journal.fi/article/view/111129