On Shrinking Targets for Piecewise Expanding Interval Maps

Tomas Persson, Michał Rams

For a map $T:[0,1]\to [0,1]$ with an invariant measure $\mu$, we study, for a $\mu$-typical $x$, the set of points $y$ such that the inequality $|T^{n}x-y|<r_n$ is satisfied…