Large deviations for ℤ d -Actions

We establish large deviations bounds for translation invariant Gibbs measures of multidimensional subshifts of finite type. This generalizes FO] and partially C, O, and B], where only full shifts were considered. Our framework includes, in particular, the hard-core lattice gas models which are outside of the scope of FO, C, O, and B].Partially supported by US-Israel BSF. Partially sponsored by the Edmund Landau Center for research in Mathematical Analysis, supported by the Minerva Foundation (Germany).