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Visibility for self-similar sets of dimension one in the plane

Károly Simon·Boris Solomyak
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Abstract

We prove that a purely unrectifiable self-similar set of finite 1-dimensional Hausdorff measure in the plane, satisfying the Open Set Condition, has radial projection of zero length from every point.

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Károly Simon, Boris Solomyak. 2005-10-17. Visibility for self-similar sets of dimension one in the plane. https://arxiv.org/abs/math/0510342

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