Type III 0 cocycles without unbounded gaps

Toshihiro Hamachi

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 4, page 713-720
  • ISSN: 0010-2628

Abstract

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An example of type III 0 cocycle without unbounded gaps of an ergodic probability measure preserving transformation will be shown.

How to cite

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Hamachi, Toshihiro. "Type $\text{III}_0$ cocycles without unbounded gaps." Commentationes Mathematicae Universitatis Carolinae 36.4 (1995): 713-720. <http://eudml.org/doc/247741>.

@article{Hamachi1995,
abstract = {An example of type III$_0$ cocycle without unbounded gaps of an ergodic probability measure preserving transformation will be shown.},
author = {Hamachi, Toshihiro},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {ergodic measure preserving transformation; type $\text\{III\}_0$ cocycle; T-set; cocycle with unbounded gaps; type analytic cocycles; cylinder flows; coboundary; unbounded gaps; ergodic measure preserving transformation},
language = {eng},
number = {4},
pages = {713-720},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Type $\text\{III\}_0$ cocycles without unbounded gaps},
url = {http://eudml.org/doc/247741},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Hamachi, Toshihiro
TI - Type $\text{III}_0$ cocycles without unbounded gaps
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 4
SP - 713
EP - 720
AB - An example of type III$_0$ cocycle without unbounded gaps of an ergodic probability measure preserving transformation will be shown.
LA - eng
KW - ergodic measure preserving transformation; type $\text{III}_0$ cocycle; T-set; cocycle with unbounded gaps; type analytic cocycles; cylinder flows; coboundary; unbounded gaps; ergodic measure preserving transformation
UR - http://eudml.org/doc/247741
ER -

References

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  1. Hamachi T., Oka Y., Osikawa M., A classification of ergodic non-singular transformation groups, Mem. Fac. Sci. Kyushu Univ. 18 (1974), 113-133. (1974) Zbl0293.28011MR0432859
  2. Hamachi T., Oka Y., Osikawa M., Flows associated with ergodic non-singular transformation groups, Publ. RIMS Kyoto Univ. 11 (1975), 31-50. (1975) Zbl0316.28007MR0390172
  3. Lemańczyk M., Private communications, . 
  4. Lemańczyk M., Analytic nonregular cocycles over irrational rotations, Comment. Math. Univ. Carolinae 36.4 (1995), 727-735. (1995) MR1378694

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