A combinatorial proof of Marstrand’s theorem for products of regular Cantor sets

Author:

Lima Yuri,Moreira Carlos Gustavo

Funder

CNPq-Brazil

Faperj-Brazil

Publisher

Elsevier BV

Subject

General Mathematics

Reference11 articles.

1. K. Falconer, The geometry of fractal sets, in: Cambridge Tracts in Mathematics, Cambridge, 1986.

2. On Hausdorff dimension of projections;Kaufman;Mathematika,1968

3. Y. Lima, C.G. Moreira, A Marstrand theorem for subsets of integers, available at http://arxiv.org/abs/1011.0672.

4. Some fundamental geometrical properties of plane sets of fractional dimensions;Marstrand;Proceedings of the London Mathematical Society,1954

5. Hausdorff dimension, projections, and the Fourier transform;Mattila;Publicacions Matemàtiques,2004

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A combinatorial proof of a sumset conjecture of Furstenberg;Combinatorica;2023-04

2. Some Variants of Orponen’s Theorem on Visible Parts of Fractal Sets;Lecture Notes in Mathematics;2021

3. A Marstrand Theorem for Subsets of Integers;Combinatorics, Probability and Computing;2013-10-25

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