Mathematics > Dynamical Systems
[Submitted on 31 Jul 2018]
Title:On the interior of projections of planar self-similar sets
View PDFAbstract: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-similar set satisfies the open set condition and has Hausdorff dimension greater than 1.
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