Veronique Maume-Deschamps
Projective metrics and mixing properties on towers
(218K, ps file)

ABSTRACT.  We study decay of correlations for towers. Using Birkhoff's projective 
metrics, we obtain a rate of mixing of the form: $c_n (f,g) \leq \/ 
\mbox{Ct} \ \a(n) \/ \Vert f \Vert \/ \Vert g \Vert_1$ where $\a(n)$ 
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 a $L^1$ 
norm is useful to study asymptotic laws of successive entrance times.