マス・フォア・インダストリ研究所

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


開催時期 2018-10-12 16:00~2018-10-12 17:30

場所 九州大学 伊都キャンパス ウエスト1号館 中セミナー室 W1-C-616

受講対象  

講師 D. Karagulyan (Kyushu University, JSPS fellow)

アブストラクト:
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.