68 citations · 139 across the 19 of their papers we have counts for
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math.MG2018
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…
math.MG2018
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…
math.MG2018
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…