On the minimum ergodic average and minimal systems

Saavedra M.; Villavicencio H. · Cubo (2022) · DOI: 10.56754/0719-0646.2403.0457

Resumen

We prove some equivalences associated with the case when the average lower time is minimal. In addition, we charac-terize the minimal systems by means of the positivity of in-variant measures on open sets and also the minimum ergodic averages. Finally, we show that a minimal system admits an open set whose measure is minimal with respect to a set of ergodic measures and its value can be chosen in [0, 1].

Instituciones: Universidad Nacional de Ingeniería