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arXiv · 1509.07733

Subadditive and Multiplicative Ergodic Theorems

Sébastien Gouëzel·Anders Karlsson
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Abstract

A result for subadditive ergodic cocycles is proved that provides more delicate information than Kingman's subadditive ergodic theorem. As an application we deduce a multiplicative ergodic theorem generalizing an earlier result of Karlsson-Ledrappier, showing that the growth of a random product of semi-contractions is always directed by some horofunction. We discuss applications of this result to ergodic cocycles of bounded linear operators, holomorphic maps and topical operators, as well as a random mean ergodic theorem.

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Sébastien Gouëzel, Anders Karlsson. 2015-09-25. Subadditive and Multiplicative Ergodic Theorems. https://arxiv.org/abs/1509.07733

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