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arXiv · 2510.11957

Furstenberg systems of certain sequences of superpolynomial growth

Andreu Ferré Moragues·Andreas Koutsogiannis
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Abstract

We give examples of sequences defined by smooth functions of intermediate growth, and we study the Furstenberg systems that model their statistical behavior. In particular, we show that the systems are Bernoulli. We do so by studying exponential sums that reflect the strong equidistribution properties of said sequences. As a by-product of our approach, we also get some convergence results.

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Andreu Ferré Moragues, Andreas Koutsogiannis. 2025-10-13. Furstenberg systems of certain sequences of superpolynomial growth. https://arxiv.org/abs/2510.11957

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