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The dimension of projections induced by a curve

2019/12/14 by D. M. Stull, Stull, D. M.
Computer Science · Mathematics · #Classical Analysis and ODEs (math.CA) #Digital Image Processing Techniques #FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Logic (math.LO) #Mathematical Dynamics and Fractals #Metric Geometry (math.MG) #Topological and Geometric Data Analysis #cs.IT #math.CA #math.IT #math.LO #math.MG

paper · pdf · doi:10.48550/arxiv.1912.08060

The zero finding algorithm (Theorem 5) is seriously flawed. Although possible to compute the zero by adding an approximation of | <\dot{gamma}(θ), w> | to the advice string, doing so might increase the advice strings length by too large an amount

openalex publication_date 2019/12/14 · arxiv created 2019/12/30 · arxiv updated 2020/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The behavior of the Hausdorff dimension of a set when projected onto a subspace is a fundamental question in fractal geometry. In this paper, we settle a question of Fassler and Orponen concerning the dimension of a set when projected onto a family of lines induced by a curve.

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