63 citations · 156 across the 13 of their papers we have counts for
24 papers
Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems
Balázs Bárány, Reza Mohammadpour
We study the Hausdorff dimension of projections of level sets of Lyapunov exponents for affine iterated function systems. Assuming that the tuple of linear parts is typical, we obt…
Projections of self-affine sets onto lines
Balázs Bárány, Antti Käenmäki, István Kolossváry
We prove an all-directions Marstrand-Mattila projection theorem for self-affine measures and sets in . Under exponential separation, together with proximality and str…
Spectrum of weighted Birkhoff average
Balázs Bárány, Michał Rams, Ruxi Shi
Let be a decreasing nonsummable sequence of positive reals. In this paper, we investigate the weighted Birkhoff average …
Typical absolute continuity for classes of dynamically defined measures
Balázs Bárány, Károly Simon, Boris Solomyak +1
We consider one-parameter families of smooth uniformly contractive iterated function systems on the real line. Given a family of parameter dependent measures …
Finer geometry of planar self-affine sets
Balázs Bárány, Antti Käenmäki, Han Yu
For planar self-affine sets satisfying the strong separation condition, recent work of Bárány, Hochman, and Rapaport gives mild assumptions under which the Hausdorff dimension equa…
On the convergence rate of the chaos game
Balázs Bárány, Natalia Jurga, István Kolossváry
This paper studies how long it takes the orbit of the chaos game to reach a certain density inside the attractor of a strictly contracting iterated function system of which we only…