Visible part of dominated self-affine sets in the plane
Keywords:Visible part, self-affine, weak tangent
AbstractThe 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.
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
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