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arXiv · 2610.22073

Strong invariance principles in deterministic systems

Zemer Kosloff·Dalibor Volny
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Abstract

We show that in every aperiodic, probability preserving dynamical system there is a function whose associated time series satisfies the almost sure invariance principle with rate asymptotically smaller then $\sqrt{n}$ and the almost sure weak invariance principle of Brosamler and Schatte.

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Zemer Kosloff, Dalibor Volny. 2026-10-15. Strong invariance principles in deterministic systems. https://arxiv.org/abs/2610.22073

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