A semi-invertible operator Oseledets theorem

Details A semi-invertible operator Oseledets theorem A semi-invertible operator Oseledets theorem

2011-05-27

arxiv.org/abs/1105.5609v1

Mathematics

Dynamical Systems

45 pages

Scientific paper

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.

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