Work

Fractals corresponding to the metallic means sequences

Year: 2024

Type: preprint

Abstract: In this work, we introduce a class of fractal subsets of $[0,1]$ corresponding to the aperiodically ordered metallic means sequences. We find simple formulas for the fractal dimension for these fractals.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2406.16885

Authors: Liang, Y. S. J., Ong, Darren C.

Institutions: Xiamen University Malaysia, Xiamen University

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Xiamen University

Award: G6522940439

OpenAlex ID: W4400064449

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