## Projective metrics and mixing properties on towers

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- by Véronique Maume-Deschamps PDF
- Trans. Amer. Math. Soc.
**353**(2001), 3371-3389 Request permission

## Abstract:

We study the decay of correlations for towers. Using Birkhoff’s projective metrics, we obtain a rate of mixing of the form: \[ c_n (f,g) \leq \operatorname {Ct} \alpha (n) \Vert f \Vert \, \Vert g \Vert _1\] where $\alpha (n)$ goes to zero in a way related to the asymptotic mass of upper floors, $\Vert f\Vert$ is some Lipschitz norm and $\Vert g \Vert _1$ is some $L^1$ norm. The fact that the dependence on $g$ is given by an $L^1$ norm is useful to study asymptotic laws of successive entrance times.## References

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## Additional Information

**Véronique Maume-Deschamps**- Affiliation: Département de Mathématiques, Université de Genève, Geneva, Switzerland
- Address at time of publication: Université de Bourgogne, B.P. 47870, 21078 Dijon Cedex, France
- Email: vmaume@topolog.u-bourgogne.fr
- Received by editor(s): May 23, 1999
- Received by editor(s) in revised form: January 13, 2000
- Published electronically: April 9, 2001
- © Copyright 2001 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**353**(2001), 3371-3389 - MSC (2000): Primary 37A25, 37C30, 37C40
- DOI: https://doi.org/10.1090/S0002-9947-01-02786-6
- MathSciNet review: 1828610