Remarks on the tightness of cocycles
Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 363-376
Cet article a éte moissonné depuis 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.
Affiliations des auteurs :
Jon Aaronson 1 ; Benjamin Weiss 1
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author = {Jon Aaronson and Benjamin Weiss},
title = {Remarks on the tightness of cocycles},
journal = {Colloquium Mathematicum},
pages = {363--376},
year = {2000},
volume = {84},
number = {2},
doi = {10.4064/cm-84/85-2-363-376},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-363-376/}
}
TY - JOUR AU - Jon Aaronson AU - Benjamin Weiss TI - Remarks on the tightness of cocycles JO - Colloquium Mathematicum PY - 2000 SP - 363 EP - 376 VL - 84 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-363-376/ DO - 10.4064/cm-84/85-2-363-376 LA - en ID - 10_4064_cm_84_85_2_363_376 ER -
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
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