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.
@article{bwmeta1.element.bwnjournal-article-cmv84i2p363bwm,
author = {Jon Aaronson and Benjamin Weiss},
title = {Remarks on the tightness of cocycles},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {363-376},
zbl = {0980.28010},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p363bwm}
}
Aaronson, Jon; Weiss, Benjamin. Remarks on the tightness of cocycles. Colloquium Mathematicae, Tome 84/85 (2000) pp. 363-376. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i2p363bwm/
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