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Transactions of the American Mathematical Society

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A dynamical proof of the multiplicative ergodic theorem

Author: Peter Walters
Journal: Trans. Amer. Math. Soc. 335 (1993), 245-257
MSC: Primary 28D05; Secondary 58F11
MathSciNet review: 1073779
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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, $ \vert\vert \bullet \vert\vert$ denotes any norm on the space of $ d \times d$ matrices, and $ {\log ^+ }(t) = \max (0,\log (t))$ for $ t \in [0,\infty )$.

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Keywords: Ergodic theorem, measure-preserving, ergodic
Article copyright: © Copyright 1993 American Mathematical Society