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 %24&chf=bg,s,333333&chco=ffffff)
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 %24&chf=bg,s,333333&chco=ffffff)
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 ~%5Cmu%24&chf=bg,s,333333&chco=ffffff)
–a.e. Moreover, we obtain the packing dimension of %20%5Ccap%20G%24&chf=bg,s,333333&chco=ffffff)
and an estimate for %20%5Ccap%20G)%24&chf=bg,s,333333&chco=ffffff)
for any analytic set .
