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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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