报告题目：A dynamical Borel-Cantelli lemma via improvements to Dirichlet's theorem

报告人：于树澄，以色列理工大学

时间：2019年11月5日（星期二）下午2：30--3：30

地点：第五教学楼5306教室

摘要：In a classical work, Kleinbock and Margulis established an equivalence between Khinchin's theorem and a dynamical Borel-Cantelli lemma for the geodesic flow making excursions into cusp neighbourhoods on the space of rank two unimodualr lattices. In this talk we present a new dynamical Borel-Cantelli lemma for the geodesic flow making excursions into complements of these cusp neighbourhoods. Our proof replies on an explicit second moment formula for Siegel transforms of indicator functions on the plane, and a zero-one law for the set of $\psi$-Dirichlet numbers estabilished by Kleinbock and Wadleigh. This is a joint work with Dmitry Kleinbock.

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