Hitting and return times in ergodic dynamical systems

N. Haydn, Y. Lacroix, S. Vaienti

Given an ergodic dynamical system $(X,T,\mu )$, and $U\subset X$ measurable with $\mu (U)>0$, let $\mu (U){\tau }_U(x)$ denote the normalized hitting time of $x\in X$ to $U$. We prove that given…