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math.DS2024
On shrinking targets for linear expanding and hyperbolic toral endomorphisms
Zhang-nan Hu, Tomas Persson, Wanlou Wu +1
Let be an invertible matrix with integer elements. Then determines a self-map of the -dimensional torus . Given a…
math.DS2024
On uniform recurrence for hyperbolic automorphisms of the -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 }…