## Exponential mixing for skew products with discontinuities

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- by Oliver Butterley and Peyman Eslami PDF
- Trans. Amer. Math. Soc.
**369**(2017), 783-803 Request permission

## Abstract:

We consider the 2D skew product $F: (x,u) \mapsto (f(x), u+\tau (x))$, where the base map $f$ is a piecewise $\mathscr {C}^{2}$, covering and uniformly expanding the map of the circle, and the fibre map $\tau$ is piecewise $\mathscr {C}^{2}$. We show that this system mixes exponentially when $\tau$ is not cohomologous (via a Lipschitz function) to a piecewise constant.## References

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## Additional Information

**Oliver Butterley**- Affiliation: Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria
- MR Author ID: 805760
- Email: oliver.butterley@univie.ac.at
**Peyman Eslami**- Affiliation: Dipartimento di Matematica, II Università di Roma (Tor Vergata), Via della Ricerca Scientifica, 00133 Roma, Italy
- MR Author ID: 819612
- Email: eslami@mat.uniroma2.it
- Received by editor(s): June 26, 2014
- Received by editor(s) in revised form: January 22, 2015
- Published electronically: May 6, 2016
- Additional Notes: The first author was supported by the Austrian Science Fund, Lise Meitner position M1583.

The second author was supported by an INdAM-COFUND Marie Curie fellowship

This research was partially supported by the Stiftung Aktion Österreich Ungarn (AÖU), Projekt Nr. 87öu6. - © Copyright 2016 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**369**(2017), 783-803 - MSC (2010): Primary 37A25; Secondary 37C30, 37D50
- DOI: https://doi.org/10.1090/tran/6761
- MathSciNet review: 3572254