Recurrence properties of superadditive processes and universally good weights. (English) Zbl 07840365
Jha, Sangita (ed.) et al., Recent developments in fractal geometry and dynamical systems. AMS special session. Fractal geometry and dynamical systems, virtual, May 14–15, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 797, 189-201 (2024).
Summary: In this article recurrence properties of a class of strongly bounded superadditive processes are studied at some length. In particular, four generalizations of Fürstenberg’s multiple recurrence theorem are extended to the setting of such superadditive processes. Having these recurrence properties in hand, it is observed that such superadditive processes define universally good weights for various type of ergodic averages.
For the entire collection see [Zbl 1537.37002].
For the entire collection see [Zbl 1537.37002].
MSC:
| 28D05 | Measure-preserving transformations |
| 37A99 | Ergodic theory |
| 47A35 | Ergodic theory of linear operators |
| 60A10 | Probabilistic measure theory |
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