B. Maga

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20242026

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math.CA2026

Exact formula on upper box dimension of generic Hölder level sets

ZoltÃ¡n Buczolich, Zoltán Buczolich, BalÃ¡zs Maga +1

In the previous decades, the size of level sets of functions have been extensively studied in various setups involving different regularity properties and size notions. In the case…

math.CA2025

Level sets of prevalent Weierstrass functions

ZoltÃ¡n Buczolich, Antti KÃ¤enmÃ¤ki, BalÃ¡zs Maga

The $I^\pm$ -Weierstrass function is defined as $W_{g}^{I^\pm, b} (x) = \sum_{k = 0}^{\infty} b^{- I^\pm k} g (b^{k} x)$ , where $g$ is a Lipschitz function on the unit circle. For a prevalent $I^\pm$ -Weie…

math.CA2024

Better estimates of HÃ¶lder thickness of fractals

Dimensions of level sets of generic continuous functions and generic HÃ¶lder functions defined on a fractal $F$ encode information about the geometry, ``the thickness" of $F$ . Whil…