  Semi-invertible multiplicative ergodic theorems establish the existence of an
Oseledets splitting for cocycles of non-invertible linear operators (such as
transfer operators) over an invertible base. Using a constructive approach, we
establish a semi-invertible multiplicative ergodic theorem that for the first
time can be applied to the study of transfer operators associated to the
composition of piecewise expanding interval maps randomly chosen from a set of
cardinality of the continuum.
