2021-07-16
Multiple correlation sequences not approximable by nilsequences
Publication
Publication
Ergodic Theory and Dynamical Systems , Volume 42 - Issue 9 p. 2711- 2722
We show that there is a measure-preserving system (X,B,μ,T) together with functions F0,F1,F2∈L∞(μ) such that the correlation sequence CF0,F1,F2(n)=∫XF0⋅TnF1⋅T2nF2dμ is not an approximate integral combination of 2-step nilsequences.
| Additional Metadata | |
|---|---|
| , , | |
| doi.org/10.1017/etds.2021.66 | |
| Ergodic Theory and Dynamical Systems | |
| Networks | |
| Organisation | Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands |
|
Briët, J., & Green, B. (2021). Multiple correlation sequences not approximable by nilsequences. Ergodic Theory and Dynamical Systems, 42(9), 2711–2722. doi:10.1017/etds.2021.66 |
|
