Z. Buczolich

activity

20032026

most citedTopological Hausdorff dimension and level sets of generic continuous functions on fractals

30 citations · 58 across the 25 of their papers we have counts for

collaborators

Showing 2016Show all

4 papers · 1 filter

math.DS2016

Ergodic averages with prime divisor weights in $L^{1}$

Zoltan Buczolich

We show that $ω (n)$ and $Ω (n)$ , the number of distinct prime factors of $n$ and the number of distinct prime factors of $n$ counted according to multiplicity are good weigh…

math.CA2016

Upper Minkowski dimension estimates for convex restrictions

Zoltan Buczolich

We show that there are functions $f$ in the Hölder class $C^{α} [0, 1]$ , $1 < α < 2$ such that $f ∣_{A}$ is not convex, nor concave for any $A \subset [0, 1]$ with $ { \bar { d…

math.CA2016★ 1 cited

Monotone and convex restrictions of continuous functions

Zoltan Buczolich

Suppose that $f$ belongs to a suitably defined complete metric space $C^{α}$ of Hölder $α$ -functions defined on $[0, 1]$ . We are interested in whether one can find large (i…

math.CA2016

Multifractal properties of convex hulls of typical continuous functions

Zoltan Buczolich

We study the singularity (multifractal) spectrum of the convex hull of the typical/generic continuous functions defined on $[0, 1]^{d}$ . We denote by $E_{φ}^{h}$ th…

Ergodic averages with prime divisor weights in L1

Upper Minkowski dimension estimates for convex restrictions

Monotone and convex restrictions of continuous functions

Multifractal properties of convex hulls of typical continuous functions

Ergodic averages with prime divisor weights in $L^{1}$