pith. sign in

arxiv: 0807.3709 · v1 · submitted 2008-07-23 · 🧮 math.DS · math.CA

Moreira's Theorem on the arithmetic sum of dynamically defined Cantor sets

Pablo Shmerkin This is my paper
classification 🧮 math.DS math.CA
keywords theoremarithmeticcantordefineddynamicallymoreiraassertscheckable
0
0 comments X
read the original abstract

We present a complete proof of a theorem of C.G. Moreira. Under mild checkable conditions, the theorem asserts that the Hausdorff dimension of the arithmetic sum of two dynamically defined Cantor subsets of the real line, equals either the sum of the dimensions or 1, whichever is smaller.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Weighted mixed-norm estimates for circular averages and exceptional set estimates for the wave equation

    math.CA 2026-04 unverdicted novelty 7.0

    Mixed-norm bounds for circular averages on α-dimensional fractals yield the first exceptional set estimates for Hölder regularity of linear wave solutions in R².