NUMERICALLY VERIFYING THE ASSOUAD DIMENSION: THE SET {0} ∪ {1/n : n ∈ N}

Authors

  • Jasmina Angelevska Kostadinoska Ss. Cyril and Methodius University in Skopje image/svg+xml Author

DOI:

https://doi.org/10.37560/matbil2448140ak

Keywords:

Assouad dimension, {0} ∪ {1/n : n ∈ N}, numerical analysis

Abstract

In this case study, we aim to rigorously verify established theoretical properties concerning the Assouad dimension of the set {0} ∪ {1/n : n ∈ N}through detailed calculations. This work serves as a foundational step towards identifying general principles governing the convergence behavior of Assouad dimension calculations for arbitrary fractals. Specifically, we investigate the necessary precision for the generation and measurement of such sets to achieve a target accuracy in the estimation of their Assouad dimensions.

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Published

2024-12-24

Issue

Vol. 48 No. 1 (2024): 48 (LXXIV) 1 (2024)

Section

Articles

License

Copyright (c) 2024 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
J. Angelevska Kostadinoska, “NUMERICALLY VERIFYING THE ASSOUAD DIMENSION: THE SET {0} ∪ {1/n : n ∈ N}”, Mat. Bilt., vol. 48, no. 1, pp. 40–52, Dec. 2024, doi: 10.37560/matbil2448140ak.