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- W2962746141 abstract "ABSTRACTFor a cocycle of invertible real n-by-n matrices, the multiplicative ergodic theorem gives an Oseledets subspace decomposition of ; that is, above each point in the base space, is written as a direct sum of equivariant subspaces, one for each Lyapunov exponent of the cocycle. It is natural to ask if these summands may be further decomposed into equivariant subspaces; that is, if the Oseledets subspaces are reducible. We prove a theorem yielding sufficient conditions for irreducibility of the trivial equivariant subspaces and for -valued cocycles and give explicit examples where the conditions are satisfied." @default.
- W2962746141 created "2019-07-30" @default.
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- W2962746141 date "2017-09-11" @default.
- W2962746141 modified "2023-09-24" @default.
- W2962746141 title "On irreducibility of oseledets subspaces" @default.
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- W2962746141 doi "https://doi.org/10.1080/14689367.2017.1370078" @default.
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