Seminar

Sharpening Marstrand’s projection theorem in R^3

Fractal Geometry and Dynamics

06 September 15:00 - 15:50

Tuomas Orponen - University of Helsinki

Marstrand’s projection theorem in R^3 states that the dimension of 1-dimensional sets is a.s. preserved, when they are projected to lines through the origin. Here “a.s.” refers to the surface measure on the 2-sphere. I will discuss recent work with A. Käenmäki and L. Venieri, where we showed that the result remains true, if “a.s.” refers, instead, to length measure on certain curves on the 2-sphere.
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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