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arXiv · 2009.08654

Visible part of dominated self-affine sets in the plane

Eino Rossi
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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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Eino Rossi. 2020-09-18. Visible part of dominated self-affine sets in the plane. https://arxiv.org/abs/2009.08654

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