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20182023
most citedGeneric Hölder level sets on Fractals

2 citations · 3 across the 4 of their papers we have counts for

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math.CA2023

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…

math.CA2021★ 1 cited

Generic Hölder level sets and fractal conductivity

Zoltán Buczolich, Balázs Maga, Gáspár Vértesy

Hausdorff dimensions of level sets of generic continuous functions defined on fractals can give information about the "thickness/narrow cross-sections'' of a "network" correspondin…

math.CA2021★ 2 cited

Generic Hölder level sets on Fractals

Zoltán Buczolich, Balázs Maga, Gáspár Vértesy

Hausdorff dimensions of level sets of generic continuous functions defined on fractals were considered in two papers by R. Balka, Z. Buczolich and M. Elekes. In those papers the to…

math.CA2021

Strong one-sided density without uniform density

Zoltán Buczolich, Bruce Hanson, Balázs Maga +1

In this paper we give an example of a closed, strongly one-sided dense set which is not of uniform density type. We also show that there is a set of uniform density type which is n…

math.CA2020

Characterization of lip sets

Zoltán Buczolich, Bruce Hanson, Balázs Maga +1

We denote the local ``little" Lipschitz constant of a function by . In this paper we settle the following question: For which s…

math.CA2019

Big and little Lipschitz one sets

Zoltán Buczolich, Bruce Hanson, Balázs Maga +1

Given a continuous function we denote the so-called "big Lip" and "little lip" functions by and respective…

math.CA2018

Random constructions for translates of non-negative functions

Zoltán Buczolich, Bruce Hanson, Balázs Maga +1

Suppose is a discrete infinite set of nonnegative real numbers. We say that is type if the series does not satisfy a zero-one law. This means…