N T A Haydn
Statistical properties of equilibrium states for rational maps
(43K, LATeX 2e)

ABSTRACT.  Equilibrium states of rational maps H\"older continuous potentials that
satisfies the `supremum gap' are not $\phi$-mixing, mainly due to the 
presence of critical points.
Here we prove that the normalised return times of arbitrary orders are 
in the limit Poisson distributed.
 We also show that the usual generating partition 
is weakly Bernoulli, from which the Bernoulli-ness then follows 
by a standard result.