Yet another proof of Marstrand's Theorem

Details Yet another proof of Marstrand's Theorem Yet another proof of Marstrand's Theorem

2011-01-17

arxiv.org/abs/1101.3252v1

Mathematics

Dynamical Systems

10 pages, 2 figures

Scientific paper

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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