We develop a thermodynamic formalism for a class of diffeomorphisms of a
torus that are "almost-Anosov". In particular, we use a Young tower
construction to prove the existence and uniqueness of equilibrium states for a
collection of non-H\"older continuous geometric potentials over almost Anosov
systems with an indifferent fixed point, as well as prove exponential decay of
correlations and the central limit theorem for these equilibrium measures