17 citations · 33 across the 12 of their papers we have counts for
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math.DS2018
Sums of two self-similar Cantor sets
Yuki Takahashi
We show that for any pair of self-similar Cantor sets with sum of Hausdorff dimensions greater than 1, one can create an interval in the sumset by applying arbitrary small perturba…
math.DS2018★ 1 cited
On the interior of projections of planar self-similar sets
Yuki Takahashi
We consider projections of planar self-similar sets, and show that one can create nonempty interior in the projections by applying arbitrary small perturbations, if the self-simila…