Shrinking targets versus recurrence: the quantitative theory

Jason Levesley, Bing Li, David Simmons +1

Let $X=[0,1]$, and let $T:X\to X$ be an expanding piecewise linear map sending each interval of linearity to $[0,1]$. For $\psi :\mathbb{N}\to {\mathbb{R}}_{\ge 0}$, $x\in X$, and $N\in\…