  In this paper we prove the continuity of all Lyapunov exponents, as well as
the continuity of the Oseledets decomposition, for a class of irreducible
cocycles over strongly mixing Markov shifts. Moreover, gaps in the Lyapunov
spectrum lead to a H\"older modulus of continuity for these quantities. This
result is an application of the abstract continuity theorems obtained in [4],
and generalizes a theorem of E. Le Page on the H\"older continuity of the
maximal LE for one-parameter families of strongly irreducible and contracting
cocycles over a Bernoulli shift.
  This is a draft of a chapter in our forthcoming research monograph [4].
