arXiv:1806.09608 Abstract | arXiv Analytics

arXiv:1806.09608 [math.DS]Abstract References Reviews Resources

Furstenberg families and transitivity in non-autonomous systems

Published 2018-06-23Version 1

We obtain necessary and sufficient conditions for a non-autonomous system to be $\mathcal{F}$-transitive and $\mathcal{F}$-mixing, where $\mathcal{F}$ is a Furstenberg family. We also obtain some characterizations for topologically ergodic non-autonomous systems. We provide examples/counter examples related to our results.

Comments: arXiv admin note: text overlap with arXiv:1806.00693

Categories: math.DS

Subjects: 54H20, 37B55

Keywords: furstenberg family, transitivity, topologically ergodic non-autonomous systems, sufficient conditions

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