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arXiv · 1411.3156

Sixty Years of Fractal Projections

Kenneth Falconer·Jonathan Fraser·Xiong Jin
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Abstract

Sixty years ago, John Marstrand published a paper which, among other things, relates the Hausdorff dimension of a plane set to the dimensions of its orthogonal projections onto lines. For many years, the paper attracted very little attention. However, over the past 30 years, Marstrand's projection theorems have become the prototype for many results in fractal geometry with numerous variants and applications and they continue to motivate leading research.

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Kenneth Falconer, Jonathan Fraser, Xiong Jin. 2014-11-12. Sixty Years of Fractal Projections. https://arxiv.org/abs/1411.3156

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