Geodesic
Visible part of dominated self-affine sets in the plane
Eino Rossi1
1 University of Helsinki, Department of Mathematics and Statistics
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 1089-1103.

Voir la notice de l'article provenant de la source Journal.fi

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: Visible part, self-affine, weak tangent

Eino Rossi 1

1 University of Helsinki, Department of Mathematics and Statistics 
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Eino Rossi. Visible part of dominated self-affine sets in the plane. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 1089-1103. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a27/