Shrinking Targets versus Recurrence: a brief survey

Yubin He, Bing Li, Sanju Velani

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