Hausdorff dimension of a class of three-interval exchange maps'

Fractal Geometry and Dynamics

22 November 15:00 - 15:50

Davit Karagulyan - KTH Royal Institute of Technology

I will talk about the Möbius disjointness conjecture of P. Sarnak and discuss a result of Bourgain, which establishes the conjecture for a class of Three-interval exchange maps. We will present a result where we estimate the measure of the set of parameters which satisfy the Diophantine condition of Bourgain. As a consequence we show that it has positive, but not full Hausdorff dimension.
Kenneth 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


Maarit Järvenpää


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