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The metric entropy of random dynamical systems in a Banach space: Ruelle inequality
Published online by Cambridge University Press: 15 November 2012
Abstract
Consider a random cocycle Φ on a separable infinite-dimensional Banach space preserving a probability measure, which is supported on a random compact set. We show that if Φ satisfies some mild integrability conditions on the differentials, then Ruelle’s inequality relating entropy and positive Lyapunov exponents holds.
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- ©2012 Cambridge University Press
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