A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets

Details A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets

2009-11-06

arxiv.org/abs/0911.1191v2

Mathematics

Dynamical Systems

9 pages, 1 figure, referee suggestions incorporated, to appear in Expositiones Mathematicae

Scientific paper

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 directions. In this article, we give a combinatorial proof of this theorem when K is the product of regular Cantor sets of class C^{1+a}, a>0, for which the sum of their Hausdorff dimension is greater than 1.

Affiliated with

Also associated with

No associations

Rating

A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A combinatorial proof of Marstrand's Theorem for products of regular Cantor sets will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-390779