30 citations · 58 across the 25 of their papers we have counts for
39 papers
Purely unrectifiable sets, fractal percolation and graphs of functions
Zoltán Buczolich
This paper contains a survey of some of the results of the author related to unrectifiablity and is an extended version of the author's talk given at the Second Winter School Geome…
Dynamics of the Takagi function and the shadowing property
Zoltán Buczolich, Jesús Llorente
The Takagi function is a classical example of a continuous nowhere differentiable function. In this paper, we study the discrete dynamical system generated…
Exact formula on upper box dimension of generic Hölder level sets
Zoltán Buczolich, Balázs Maga
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…
Level sets of prevalent Weierstrass functions
Zoltán Buczolich, Antti Käenmäki, Balázs Maga
The -Weierstrass function is defined as , where is a Lipschitz function on the unit circle. For a prevalent -Weierstr…
The multifractal nature of a parametrized family of von Koch functions
Zoltán Buczolich, Yann Demichel, Stéphane Seuret
In a famous paper published in 1904, Helge von Koch introduced the curve that still serves nowadays as an iconic representation of fractal shapes. In fact, von Koch's main goal was…
Better estimates of Hölder thickness of fractals
Zoltán Buczolich, Balázs Maga, Gáspár Vértesy
Dimensions of level sets of generic continuous functions and generic Hölder functions defined on a fractal encode information about the geometry, ``the thickness" of . While…