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arXiv · 2601.20855

Flexibility of measurable and topological nilfactors in dynamical systems

Seljon Akhmedli
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Abstract

We construct examples of minimal and uniquely ergodic systems realizing all possible behaviors in the interplay of measurable and topological nilfactors. To build such examples, we adapt an idea that stems from Furstenberg's construction of a minimal but not uniquely ergodic system on $\mathbb{T}^2$.

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Seljon Akhmedli. 2026-01-28. Flexibility of measurable and topological nilfactors in dynamical systems. https://arxiv.org/abs/2601.20855

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