Seminar

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

Fractal Geometry and Dynamics

24 October 15:00 - 15:50

Meng Wu - University of Oulu

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.
Organizers
Kenneth J. Falconer
University of St Andrews
Maarit Järvenpää
University of Oulu
Antti Kupiainen
University of Helsinki
Francois Ledrappier
University of Notre Dame
Pertti Mattila
University of Helsinki

Program
Contact

Maarit Järvenpää

maarit.jarvenpaa@oulu.fi

Other
information

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