30 citations · 58 across the 25 of their papers we have counts for
6 papers · 1 filter
Fractal percolation is unrectifiable
Zoltán Buczolich, Esa Järvenpää, Maarit Järvenpää +2
We show that there exists (depending on the parameters) such that the fractal percolation is almost surely purely -unrectifiable for all .
Divergence of weighted square averages in
Zoltán Buczolich, Tanja Eisner
We study convergence of ergodic averages along squares with polynomial weights. For a given polynomial , consider the set of all such that for e…
Lipschitz one sets modulo sets of measure zero
Z. Buczolich, B. Hanson, B. Maga +1
We denote the local "little" and "big" Lipschitz functions of a function by and . In this paper we continue o…
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…
Generic Birkhoff Spectra
Zoltán Buczolich, Balázs Maga, Ryo Moore
Suppose that and is the one-sided shift. The Birkhoff spectrum $ \displaystyle S_{f}( α)=\dim_{H}\Big \{ ω\in Ω:\lim_{N \to \infty} \frac{1}{N} \s…
Fast and slow points of Birkhoff sums
Frédéric Bayart, Zoltan Buczolich, Yanick Heurteaux
We investigate the growth rate of the Birkhoff sums , where is a continuous function with zero mean defined on the unit circle $\mathbb T…