Seminar

Rigidity of quasisymmetric mappings between horizontal self-affine carpets

Fractal Geometry and Dynamics

13 September 14:00 - 14:50

Eino Rossi - Universidad Torcuato Di Tella

Rigidity of quasisymmetric mappings between metric spaces is sometimes determined by the structure of the spaces. For example, a quasisymmetry from the Sierpinski gasket to itself is actuallly an isometry of the Euclidean space. We study the class of quasisymmetric mappings between horizontal self-affine carpets and show that this class is rather small. Our method is to go to the tangent level, use the structure of weak tangents to get information on the rigidity of tangent mappings, and then pull back some of this information to the original mapping. (Joint work with Antti Käenmäki and Tuomo Ojala.)
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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