6 citations · 8 across the 6 of their papers we have counts for
6 papers
Scaling limits of self-conformal measures
Balázs Bárány, Antti Käenmäki, Aleksi Pyörälä +1
We show that any self-conformal measure on is uniformly scaling and generates an ergodic fractal distribution. This generalizes existing results by removing the ne…
Dimension of planar non-conformal attractors with triangular derivative matrices
Balázs Bárány, Antti Käenmäki
We study the dimension of the attractor and quasi-Bernoulli measures of parametrized families of iterated function systems of non-conformal and non-affine maps. We introduce a tran…
Slices of the Takagi function
Roope Anttila, Balázs Bárány, Antti Käenmäki
We show that the Hausdorff dimension of any slice of the graph of the Takagi function is bounded above by the Assouad dimension of the graph minus one, and that the bound is sharp.…
On the dimension of planar self-affine sets with non-invertible maps
Balázs Bárány, Viktor Körtvélyesi
In this paper, we study the dimension of planar self-affine sets, of which generating iterated function system (IFS) contains non-invertible affine mappings. We show that under a c…
Lagrange-like spectrum of perfect additive complements
Balázs Bárány, Jin-Hui Fang, Csaba Sándor
Two infinite sets and of non-negative integers are called \emph{perfect additive complements of non-negative integers}, if every non-negative integer can be uniquely expres…
Recurrence rates for shifts of finite type
Demi Allen, Simon Baker, Balázs Bárány
Let be a topologically mixing shift of finite type, let be the usual left-shift, and let be the Gibbs measure for a Hölder continuous potential that i…