Institute of Mathematics for Industry


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On the Möbius disjointness conjecture and a result on interval exchange maps

Hold Date 2018-10-12 16:00~2018-10-12 17:30

Place Seminar Room W1-C-616, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker D. Karagulyan (Kyushu University, JSPS fellow)

I will start by surveying on the Möbius disjointness conjecture of P. Sarnak which was introduced in 2010 and as initiated many studies. Then I will discuss a result of J. Bourgain, which establishes the conjecture for a class of interval exchange maps. I will present a result, where we estimate the measure of the parameter set in Bourgain's result. As a consequence, we will show that it has positive, but not full Hausdorff dimension.