Fractal Dimension of Exceptional Sets in Semi-Regular Continued Fractions

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dc.contributor.authorKadyrov Sh.
dc.contributor.authorKazin A.
dc.contributor.authorDuisen S.
dc.date.accessioned2025-08-11T05:32:57Z
dc.date.available2025-08-11T05:32:57Z
dc.date.issued2025
dc.description.abstractThis 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.
dc.identifier.citationKadyrov Sh , Kazin A , Duisen S / Fractal Dimension of Exceptional Sets in Semi-Regular Continued Fractions / Journal of Emerging Technologies and Computing (JETC), Vol. 1 No. 1 / 2025
dc.identifier.urihttps://repository.sdu.edu.kz/handle/123456789/1856
dc.language.isoen
dc.publisherfaculty of engineering and natural sciences
dc.subjectRegular continued fraction
dc.subjectLehner expansion
dc.subjectsemi-regular continued fraction
dc.titleFractal Dimension of Exceptional Sets in Semi-Regular Continued Fractions
dc.typeArticle

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