Central limit theorems for the shrinking target problem

Nicolai Haydn, Matthew Nicol, Sandro Vaienti +1

Suppose $B_i:=B(p,r_i)$ are nested balls of radius $r_i$ about a point $p$ in a dynamical system $(T,X,\mu )$. The question of whether $T^{i}x\in B_i$ infinitely often (i. o.) for $\mu$…