68 citations · 315 across the 32 of their papers we have counts for
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Absolute continuity in families of parametrised non-homogeneous self-similar measures
Antti Käenmäki, Tuomas Orponen
Let be a planar self-similar measure with similarity dimension exceeding , satisfying a mild separation condition, and such that the fixed points of the associated similitud…
Attainable values for the Assouad dimension of projections
Jonathan M. Fraser, Antti Käenmäki
We prove that for an arbitrary upper semi-continuous function there exists a compact set in the plane such that for all…
On the Hausdorff dimension of microsets
Jonathan M. Fraser, Douglas C. Howroyd, Antti Käenmäki +1
We investigate how the Hausdorff dimensions of microsets are related to the dimensions of the original set. It is known that the maximal dimension of a microset is the Assouad dime…
Birkhoff and Lyapunov spectra on planar self-affine sets
Balázs Bárány, Thomas Jordan, Antti Käenmäki +1
Working on strongly irreducible planar self-affine sets satisfying the strong open set condition, we calculate the Birkhoff spectrum of continuous potentials and the Lyapunov spect…
Self-conformal sets with positive Hausdorff measure
Jasmina Angelevska, Antti Käenmäki, Sascha Troscheit
We investigate the Hausdorff measure and content on a class of quasi self-similar sets that include, for example, graph-directed and sub self-similar and self-conformal sets. We sh…