Speaker: Dr.Meng Wu (University of  Oulu)

Title:On projections of self-affine Carpets/measures with no grid structure

Time: Fri, June.15, 2018 , PM:4:10-5:10.

Location: Room 4318, Building No.4, Wushan Campus

Abstract:

  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.