分野別セミナー

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.