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arXiv · 1101.3252

Yet another proof of Marstrand's Theorem

Yuri Lima·Carlos Gustavo Moreira
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Abstract

In a paper from 1954 Marstrand proved that if K is a Borel subset of the plane with Hausdorff dimension greater than 1, then its one-dimensional projection has positive Lebesgue measure for almost-all directions. In this article, we give a new proof of this theorem, extending the techniques developed in a previous work.

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Yuri Lima, Carlos Gustavo Moreira. 2011-01-17. Yet another proof of Marstrand's Theorem. https://doi.org/10.1007/s00574-011-0018-3

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