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2021 NCTS Seminar on Dynamical Systems
 
16:00 - 17:00, January 4, 2022 (Tuesday)
Zoom, Online seminar
(線上演講 Zoom)
On the Intersection of Dynamical Covering Sets with Fractals
Zhangnan Hu (South China University of Technology)

Abstract:

Let be a measure-preserving dynamical system with exponentially mixing property, and let be an Ahlfors s-regular probability measure. In this talk we focus on the dynamical covering problem which concerns the set of points which are covered by the orbits of infinitely many times. We prove that the Hausdorff dimension of the intersection of and any regular fractal equals , where –a.e. Moreover, we obtain the packing dimension of and an estimate for for any analytic set .



 

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