3 papers
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.DS2024
Non-invertible planar self-affine sets
Antti Käenmäki, Petteri Nissinen
We compare the dimension of a non-invertible self-affine set to the dimension of the respective invertible self-affine set. In particular, for generic planar self-affine sets, we s…
math.CV2024
On quasiconformal dimension distortion for subsets of the real line
Petteri Nissinen, István Prause
Optimal quasiconformal dimension distortions bounds for subsets of the complex plane have been established by Astala. We show that these estimates can be improved when one consider…