14 citations · 34 across the 13 of their papers we have counts for
13 papers
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…
Calculating box dimension with the method of types
István Kolossváry
This paper presents a general procedure based on using the method of types to calculate the box dimension of sets. The approach unifies and simplifies multiple box counting argumen…
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…
On the intermediate dimensions of Bedford-McMullen carpets
István Kolossváry
The intermediate dimensions of a set , elsewhere denoted by , interpolates between its Hausdorff and box dimensions using the parameter . Determining a preci…
Hausdorff measure and Assouad dimension of generic self-conformal IFS on the line
Balázs Bárány, István Kolossváry, Michał Rams +1
This paper considers self-conformal iterated function systems (IFSs) on the real line whose first level cylinders overlap. In the space of self-conformal IFSs, we show that generic…
Distance between natural numbers based on their prime signature
István B. Kolossváry, István T. Kolossváry
We define a new metric between natural numbers induced by the norm of their unique prime signatures. In this space, we look at the natural analog of the number line a…