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Random walks on compact groups and the existence of cocycles

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Abstract

We show that certain skew products in ergodic theory are isomorphic to the shifts defined by random walks. We conclude the existence of cocycles for any finite measure preserving ergodic automorphism or flow, taking values in an arbitrary compact group, which determine ergodic skew products.

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Authors and Affiliations

  1. Department of Mathematics, U.S. Naval Academy Annapolis, 21402, Maryland, USA

    Robert J. Zimmer

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  1. Robert J. Zimmer
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Zimmer, R.J. Random walks on compact groups and the existence of cocycles. Israel J. Math. 26, 84–90 (1977). https://doi.org/10.1007/BF03007658

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  • DOI: https://doi.org/10.1007/BF03007658

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