fractal dimensions 1Hausdorff dimension 1Minkowski dimension 1projection theorems 1self-affine sets 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CA2026
Projections of self-affine sets onto lines
Balázs Bárány, Antti Käenmäki, István Kolossváry
The paper proves that for self‑affine measures and sets in Euclidean space, projections onto lines have the expected Hausdorff dimension under certain separation, proximality, and…
math.DS2026
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…
math.DS2025
Regularity of non-autonomous self-similar sets
Antti Käenmäki, Alex Rutar
Non-autonomous self-similar sets are a family of compact sets which are, in some sense, highly homogeneous in space but highly inhomogeneous in scale. The main purpose of this note…