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Title

Remarks on the tightness of cocycles

Authors 1, 2

Affiliations

  1. School of Mathematical Sciences, Tel Aviv University, 69978 Tel Aviv, Israel
  2. Mathematical Institute, Hebrew University, Jerusalem, Israel

Abstract

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.

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Colloquium Mathematicum
2000/84/85/2
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Pages:
363-376
Main language of publication
English
Received
1999-08-13
Accepted
1999-12-04
Published
2000
Exact and natural sciences