Dimensions of slices through the Sierpiński gasket

DOI10.1080/10236198.2022.2046734OpenAlexW4220914539MaRDI QIDQ5069216

Yuto Nakajima

Publication date: 8 April 2022

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2022.2046734

zbMATH Keywords

dimensionergodic theoryslicing fractalsnon-autonomous iterated function system

Mathematics Subject Classification ID

Fractals (28A80)

Cites Work

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• Dimension of slices through fractals with initial cubic pattern
• On the Hausdorff dimension of fibres
• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• Dimensions of slices through a class of generalized Sierpiński sponges
• Sets of ``non-typical points have full topological entropy and full Hausdorff dimension
• Lectures on dynamics, fractal geometry, and metric number theory
• Non-autonomous conformal iterated function systems and Moran-set constructions
• Dimension results for inhomogeneous Moran set constructions
• Dimension of slices through a self-similar set with initial cubic pattern
• Slicing the Sierpiński gasket
• Hausdorff dimension, orthogonal projections and intersections with planes
• Dimensions and Measures in Infinite Iterated Function Systems
• Sets of Fractional Dimensions which Occur in Some Problems of Number Theory
• Some Fundamental Geometrical Properties of Plane Sets of Fractional Dimensions

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