Geodesic
Remarks on the tightness of cocycles
Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 363-376.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove a generalised tightness theorem for cocycles over an ergodic probability preserving transformation with values in Polish topological groups. We also show that subsequence tightness of cocycles over a mixing probability preserving transformation implies tightness. An example shows that this latter result may fail for cocycles over a mildly mixing probability preserving transformation.
DOI : 10.4064/cm-84/85-2-363-376

Jon Aaronson 1 ; Benjamin Weiss 1

1 
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Jon Aaronson; Benjamin Weiss. Remarks on the tightness of cocycles. Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 363-376. doi : 10.4064/cm-84/85-2-363-376. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-363-376/

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