arXiv:1903.12640 Abstract | arXiv Analytics

arXiv:1903.12640 [math.DS]Abstract References Reviews Resources

When points are equivalent in long time behaviors

Published 2019-03-29Version 1

We metric the distance between two points in a new way, and then show a new equivalent condition of ergodic measures. We also conclude a necessary and sufficient condition of uniquely ergodicity. What's more, an equivalent condition of when the time average operator maps continuous functions to be continuous is shown.

Categories: math.DS

Keywords: long time behaviors, average operator maps continuous functions, equivalent condition, time average operator maps continuous

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