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arXiv · 1708.00487

Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles

Lucas Backes·Davor Dragicevic
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Abstract

We prove that for semi-invertible and H\"older continuous linear cocycles $A$ acting on an arbitrary Banach space and defined over a base space that satisfies the Anosov Closing Property, all exceptional Lyapunov exponents of $A$ with respect to an ergodic invariant measure for base dynamics can be approximated with Lyapunov exponents of $A$ with respect to ergodic measures supported on periodic orbits. Our result is applicable to a wide class of infinite-dimensional dynamical systems.

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Lucas Backes, Davor Dragicevic. 2017-08-01. Periodic approximation of exceptional Lyapunov exponents for semi-invertible operator cocycles. https://doi.org/10.5186/aasfm.2019.4410

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