On uniform recurrence for hyperbolic automorphisms of the $2$-dimensional torus

Georgios Lamprinakis, Tomas Persson, Alejandro Rodriguez Sponheimer

We are interested in studying sets of the form \[ \mathcal{U}(α) := \left\{ x\in X: \ \exists M=M(x) \geq 1 \text{ such that } \forall N\geq M, \ \exists n\leq N \text{ such that }…