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Meng Wu: On projections of self-affine carpets/measures with no grid structure

Time: Tue 2017-10-24 15.00

Location: Institut Mittag-Leffler, Auravägen 17, Djursholm

Participating: Meng Wu, University of Oulu

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We study the orthogonal projections of a large class of self-affine carpets, including the Feng-Wang carpets. We show that for a self-affine measure \(\mu\) on such carpet, under separation condition and certain natural irreducuble conditions, the projection of \mu in a non-principal direction has dimension \(\min(1,dim(\mu))\). The main ingredient of the proof is a modified version of the scenery flows associated to the self-affine measures. Joint work with Antti Kaenmaki.