  We develop a thermodynamic formalism for a smooth realization of
pseudo-Anosov surface homeomorphisms. In this realization, the singularities of
the pseudo-Anosov map are assumed to be fixed, and the trajectories are slowed
down so the differential is the identity at these points. Using Young towers,
we prove existence and uniqueness of equilibrium states for geometric
$t$-potentials. This family of equilibrium states includes a unique SRB measure
and a measure of maximal entropy, the latter of which has exponential decay of
correlations and the Central Limit Theorem.
