Browsing by Author "Duisen S."
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Item Open Access Fractal Dimension of Exceptional Sets in Semi-Regular Continued Fractions(faculty of engineering and natural sciences, 2025) Kadyrov Sh.; Kazin A.; Duisen S.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.