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Projective metrics and mixing properties on towers

We study the decay of correlations for towers. Using Birkhoff’s projective metrics, we obtain a rate of mixing of the form: cn(f, g) ≤ Ctα(n)‖f‖ ‖g‖1 where α(n) goes to zero in a way related to the asymptotic mass of upper floors, ‖f‖ is some Lipschitz norm and ‖g‖1 is some L1 norm. The fact that the dependence on g is given by an L1 norm is useful to study asymptotic laws of successive entrance times.