1 citations · 1 across the 2 of their papers we have counts for
4 papers
Exponential separation of self-conformal systems
Antti Käenmäki
On the real line, Bárány, Kolossváry, and Troscheit [5] made exponential separation of analytic self-conformal systems checkable through a dual iterated function system on a space…
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…
A Marstrand-type restricted projection theorem in
Antti Käenmäki, Tuomas Orponen, Laura Venieri
Marstrand's projection theorem from states that if is an analytic set, then, for almost every , the orthogonal proj…
Rigidity of quasisymmetric mappings on self-affine carpets
Antti Käenmäki, Tuomo Ojala, Eino Rossi
We show that the class of quasisymmetric maps between horizontal self-affine carpets is rigid. Such maps can only exist when the dimensions of the carpets coincide, and in this cas…