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The aperiodic complexities and connections to dimensions and Diophantine approximation

The aperiodic complexities and connections to dimensions and Diophantine approximation

In their earlier work (Ergodic Th. Dynam. Sys., 34: 1699 -1723, 10 2014), the authors introduced the so called F-aperiodic orbits of a dynamical system on a compact metric space X, which satisfy a quantitative condition measuring its recurrence and aperiodicity. Using this condition we introduce two new quantities $\mathcal{F, …