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发布时间:2018-06-11文章来源:华南理工大学数学学院浏览次数:329

报告题目:On projections of self-affine Carpets/measures with no grid structure

人:吴猛 博士(芬兰奥卢大学)

报告地点:4号楼4318

报告时间:2018615日(周五)下午 16:10-17:10

人:李兵 教授

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数学学院
2018611

报告摘要:

  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.