  We establish the Level-1 and Level-3 Large Deviation Principles (LDPs) for
invariant measures on shift spaces over finite alphabets under very general
decoupling conditions for which the thermodynamic formalism does not apply.
Such decoupling conditions arise naturally in multifractal analysis, in Gibbs
states with hard-core interactions, and in the statistics of repeated quantum
measurement processes. We also prove the LDP for the entropy production of
pairs of such measures and derive the related Fluctuation Relation. The proofs
are based on Ruelle-Lanford functions, and the exposition is essentially
self-contained.
