  In this article we will apply complex projective metrics to sequences of
complex transfer operators generated by Young towers, countable shifts and
other types of distance expanding maps (possibly time dependent) with countable
degrees. We will derive a sequential Ruelle-Perron-Frobenius theorem for
sequence of complex operators defined by such maps, and relying on it a variety
of probabilistic limit theorems (finer than the CLT) for non-stationary
processes follows.
