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arXiv · 1905.05164

Local limit theorem in deterministic systems

Zemer Kosloff·Dalibor Volny
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Abstract

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.

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Zemer Kosloff, Dalibor Volny. 2019-05-13. Local limit theorem in deterministic systems. https://arxiv.org/abs/1905.05164

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