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.

 

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Published

2021-09-06

Issue

Vol. 46 No. 2 (2021)

Section

Articles

License

Copyright (c) 2021 The Finnish Mathematical Society

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

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