Yet another proof of Marstrand's Theorem
Dynamical Systems
2020-04-21 v1
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.
Keywords
Cite
@article{arxiv.1101.3252,
title = {Yet another proof of Marstrand's Theorem},
author = {Yuri Lima and Carlos Gustavo Moreira},
journal= {arXiv preprint arXiv:1101.3252},
year = {2020}
}
Comments
10 pages, 2 figures