From the 1 of 5 linked papers with an AI index.
5 papers
Hausdorff dimension of self-similar measures and sets with common fixed point structure
Balázs Bárány, Manuj Verma
The paper investigates the Hausdorff dimension of self‑similar measures and sets on the real line when the iterated function system includes maps sharing a common fixed point, esta…
Weakly separated self-affine carpets
Balázs Bárány, Levente David
In this paper, we study the Hausdorff and the box-counting dimensions of diagonally aligned self-affine carpets whose projections to the - and -axes satisfy the weak separati…
On exponential separation of analytic self-conformal sets on the real line
Balázs Bárány, István Kolossváry, Sascha Troscheit
In a recent article, Rapaport showed that there is no dimension drop for exponentially separated analytic IFSs on the real line. We show that the set of such exponentially separate…
Covering number on inhomogeneous graph-directed self-similar sets
Balázs Bárány, Antti Käenmäki, Petteri Nissinen
For a strongly connected inhomogeneous graph-directed self-similar set satisfying the strong open set condition, we characterize the asymptotic behaviour of the -covering…
Hausdorff dimension of the Wedding cake type surfaces
Balázs Bárány, Manuj Verma
In this paper, we study the Hausdorff dimension of fractal interpolation surfaces (FISs) over a triangular domain. These FISs are known as `wedding cake surfaces'. These surfaces a…