A dynamical proof of the multiplicative ergodic theorem

Walters, Peter

doi:10.1090/S0002-9947-1993-1073779-7

A dynamical proof of the multiplicative ergodic theorem
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by Peter Walters

Trans. Amer. Math. Soc. 335 (1993), 245-257

DOI: https://doi.org/10.1090/S0002-9947-1993-1073779-7

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Abstract:

We shall give a proof of the following result of Oseledec, in which $GL(d)$ denotes the space of invertible $d \times d$ real matrices, $|| \bullet ||$ denotes any norm on the space of $d \times d$ matrices, and ${\log ^+ }(t) = \max (0,\log (t))$ for $t \in [0,\infty )$.

References

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