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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.13618 |
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Table of Contents:
- We study skew-products of the form $(x,u) \mapsto (fx, u + φ(x))$ where $f$ is a non-uniformly expanding map on a manifold $X$ and $φ: X \to \mathbb{S}^1$ is piecewise $\mathcal{C}^1$. If the systems satisfies mild assumptions (in particular singular behaviour of $φ$ is permitted) then we prove that the map mixes exponentially with respect to the unique SRB measure. This extends previous results by allowing singular behaviour in the fibre map.