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arXiv · 1604.03218

Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations

Jon. Aaronson·Benjamin Weiss
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Abstract

In this note we identify the distributional limits of non-negative, ergodic stationary processes, showing that all are possible. Consequences for infinite ergodic theory are also explored and new examples of distributionally stable- and $\alpha$-rationally ergodic tranformations are presented.

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Jon. Aaronson, Benjamin Weiss. 2016-04-12. Distributional limits of positive, ergodic stationary processes and infinite ergodic transformations. https://arxiv.org/abs/1604.03218

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