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Numerical Fractal Analysis of Exceptional Sets in the Lehner Expansion

Year: 2025

Type: article

Abstract: This paper examines how the average value of the sequence bn in the Lehner expansion of a real number x influences its box dimension. Our primary objective is to analyze how variations in the average of bn impact the box dimension, which serves as a measure of the complexity of the sequence. Using the box-counting method, we numerically estimate the box dimension and explore its relationship with the fractal nature of Lehner expansions.

Source: Journal of Emerging Technologies and Computing

DOI: 10.47344/q46xe557

Authors: Symbat Duisen, Aiken Kazin, Shirali Kadyrov

Institutions: Shandong University, University of Southern Denmark, Suleyman Demirel University, New Uzbekistan University, National University of Uzbekistan

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4411406098

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