- 98-408 N T A Haydn
- Statistical properties of equilibrium states for rational maps
(43K, LATeX 2e)
Jun 1, 98
of related papers
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.