We give a principle of large deviations for a generalized version of the strong central limit theorem. This generalized version deals with martingale additive functionals of a recurrent Markov process.
"The Principle of Large Deviations for Martingale Additive Functionals of Recurrent Markov Processes." Electron. J. Probab. 6 1 - 26, 2001. https://doi.org/10.1214/EJP.v6-81