  The Dobrushin-Lanford-Ruelle (DLR) condition and the classical
Kubo-Martin-Schwinger (KMS) condition are considered in the context of
classical lattice systems. In particular, we prove that these conditions are
equivalent for the case of a lattice spin system with values in a compact
symplectic manifold by showing that infinite volume Gibbs states are in
bijection with KMS states.
