Lower Bounds for Dimensions of Sums of Sets

2008/08/13 by Daniel M. Oberlin, Oberlin, Daniel M.
Computer Science · Engineering · Mathematics · #42B10 #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #Digital Image Processing Techniques #FOS: Mathematics #Mathematical Approximation and Integration

paper · pdf · doi:10.48550/arxiv.0808.1873

openalex publication_date 2008/08/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study lower bounds for the Minkowski and Hausdorff dimensions of the algebraic sum E+K of two subsets E and K of d-dimensional Euclidean space.

Citations

• Resonance between Cantor sets

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