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arXiv · 1502.06554

A volume-based approach to the multiplicative ergodic theorem on Banach spaces

Alex Blumenthal
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Abstract

A volume growth-based proof of the Multiplicative Ergodic Theorem for Banach spaces is presented, following the approach of Ruelle for cocycles acting on a Hilbert space. As a consequence, we obtain a volume growth interpretation for the Lyapunov exponents of a Banach space cocycle.

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Alex Blumenthal. 2015-02-23. A volume-based approach to the multiplicative ergodic theorem on Banach spaces. https://doi.org/10.3934/dcds.2016.36.2377

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