Local limit theorem in deterministic systems
| Autor: | Kosloff, Zemer, Volny, Dalibor |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| Popis: | We show that for every ergodic and aperiodic probability preserving system, there exists a $\mathbb{Z}$ valued, square integrable function $f$ such that the partial sums process of the time series $\left\{f\circ T^i\right\}_{i=0}^\infty$ satisfies the lattice local limit theorem. Comment: 17 pages |
| Databáze: | arXiv |
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