# Remarks on the tightness of cocycles

Colloquium Mathematicae (2000)

- Volume: 84/85, Issue: 2, page 363-376
- ISSN: 0010-1354

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topAaronson, Jon, and Weiss, Benjamin. "Remarks on the tightness of cocycles." Colloquium Mathematicae 84/85.2 (2000): 363-376. <http://eudml.org/doc/210819>.

@article{Aaronson2000,

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.},

author = {Aaronson, Jon, Weiss, Benjamin},

journal = {Colloquium Mathematicae},

keywords = {measure preserving transformation; cocycle; tight subset of probability measures},

language = {eng},

number = {2},

pages = {363-376},

title = {Remarks on the tightness of cocycles},

url = {http://eudml.org/doc/210819},

volume = {84/85},

year = {2000},

}

TY - JOUR

AU - Aaronson, Jon

AU - Weiss, Benjamin

TI - Remarks on the tightness of cocycles

JO - Colloquium Mathematicae

PY - 2000

VL - 84/85

IS - 2

SP - 363

EP - 376

AB - 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.

LA - eng

KW - measure preserving transformation; cocycle; tight subset of probability measures

UR - http://eudml.org/doc/210819

ER -

## References

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