Shrinking Targets versus Recurrence: a brief survey

Yubin He, Bing Li, Sanju Velani

Let $(X,d)$ be a compact metric space and $(X,\mathcal{A},\hat{I}¼,T)$ a measure preserving dynamical system. Furthermore, given a real, positive function $\ddot{I}ˆ$, let $W(T,\ddot{I}ˆ)$ and $ R(T,…