Furstenberg systems of certain sequences of superpolynomial growth
Dynamical Systems
2025-10-15 v1 Number Theory
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.
Cite
@article{arxiv.2510.11957,
title = {Furstenberg systems of certain sequences of superpolynomial growth},
author = {Andreu Ferré Moragues and Andreas Koutsogiannis},
journal= {arXiv preprint arXiv:2510.11957},
year = {2025}
}
Comments
19 pages