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Rank-one power weakly mixing non-singular transformations
| Content Provider | Semantic Scholar |
|---|---|
| Author | Silva, Cesar E. Friedman, Nathaniel A. Adams, Terrence M. |
| Copyright Year | 2001 |
| Abstract | We show that Chacon's non-singular type III _\lambda transformation T_\lambda , 0 , is power weakly mixing, i.e. for all sequences of non-zero integers \{k_{1},\dotsc,k_{r}\} , T_\lambda^{k_{1}}\times\dotsb\times T_\lambda^{k_{r}} is ergodic. We then show that in infinite measure, this condition is not implied by infinite ergodic index (having all finite Cartesian products ergodic), and that infinite ergodic index does not imply 2-recurrence. |
| Starting Page | 1321 |
| Ending Page | 1332 |
| Page Count | 12 |
| File Format | PDF HTM / HTML |
| DOI | 10.1017/S0143385701001626 |
| Volume Number | 21 |
| Alternate Webpage(s) | http://www.williams.edu/Mathematics/csilva/NonSingPWM3.pdf |
| Alternate Webpage(s) | https://doi.org/10.1017/S0143385701001626 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
