TY - JOUR
AU - Saavedra, Manuel
AU - Villavicencio, Helmuth
PY - 2022/12/21
Y2 - 2024/09/13
TI - On the minimum ergodic average and minimal systems
JF - CUBO, A Mathematical Journal
JA - CUBO
VL - 24
IS - 3
SE - Articles
DO - 10.56754/0719-0646.2403.0457
UR - https://cubo.ufro.cl/index.php/cubo/article/view/3209
SP - 457–466
AB - <div class="page" title="Page 1"><div class="section"><div class="layoutArea"><div class="column"><p>We prove some equivalences associated with the case when the average lower time is minimal. In addition, we characterize the minimal systems by means of the positivity of invariant 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].</p></div></div></div></div>
ER -