8 citations · 18 across the 4 of their papers we have counts for
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Examples of sets with irregular projection of Hausdorff measures
Yuri Lima, Carlos Gustavo Moreira
Given positive integers and a real , we construct sets with positive and finite Hausdorff measure such that the Radon-Nikodym der…
Yet another proof of Marstrand's Theorem
Yuri Lima, Carlos Gustavo Moreira
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 me…
A Marstrand theorem for subsets of integers
Yuri Lima, Carlos Gustavo Moreira
We propose a counting dimension for subsets of Z and prove that, under certain conditions on two such subsets E and F, for Lebesgue almost every real λ the counting dimension of E+…
A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets
Yuri Lima, Carlos Gustavo Moreira
In 1954 Marstrand proved that if K is a subset of R^2 with Hausdorff dimension greater than 1, then its one-dimensional projection has positive Lebesgue measure for almost-all dire…