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On the minimum ergodic average and minimal systems

dc.creatorSaavedra, Manuel
dc.creatorVillavicencio, Helmuth
dc.date2022-12-21
dc.identifierhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3209
dc.identifier10.56754/0719-0646.2403.0457
dc.descriptionWe 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].en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://cubo.ufro.cl/ojs/index.php/cubo/article/view/3209/2260
dc.rightsCopyright (c) 2022 M. Saavedra et al.en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 No. 3 (2022); 457–466en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 24 Núm. 3 (2022); 457–466es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectTime averageen-US
dc.subjectminimum ergodic averageen-US
dc.subjectminimal systemsen-US
dc.titleOn the minimum ergodic average and minimal systemsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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