A Chung-Fuchs type theorem for skew product dynamical systems
| Autor: | Jin, Xiong |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove a Chung-Fuchs type theorem for skew product dynamical systems such that for a measurable function on such a system, if its Birkhoff average converges to zero almost surely, and on typical fibres its Birkhoff sums have a non-trivial independent structure, then its associated generalised random walk oscillates, that is the supremum of the random walk equals to $+\infty$ and the infimum equals to $-\infty$. Comment: 5 pages |
| Databáze: | arXiv |
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