MILES, Richard and WARD, Thomas (2006). Mixing actions of the rationals. Ergodic Theory and Dynamical Systems, 26 (6), 1905-1911.
Full text not available from this repository.
Official URL: https://doi.org/10.1017/50143385706000356
Link to published version:: https://doi.org/10.1017/50143385706000356
Abstract
We study mixing properties of algebraic actions of $\mathbb Q^d$, showing in particular that prime mixing $\mathbb Q^d$ actions on connected groups are mixing of all orders, as is the case for $\mathbb Z^d$-actions. This is shown using a uniform result on the solution of $S$-unit equations in characteristic zero fields due to Evertse, Schlickewei and W. Schmidt. In contrast, algebraic actions of the much larger group $\mathbb Q^*$ are shown to behave quite differently, with finite order of mixing possible on connected groups.
Item Type: | Article |
---|---|
Departments - Does NOT include content added after October 2018: | Faculty of Social Sciences and Humanities > Department of Teacher Education |
Identification Number: | https://doi.org/10.1017/50143385706000356 |
Page Range: | 1905-1911 |
Depositing User: | Richard Miles |
Date Deposited: | 26 Jan 2018 13:21 |
Last Modified: | 18 Mar 2021 16:30 |
URI: | https://shura.shu.ac.uk/id/eprint/17239 |
Actions (login required)
View Item |
Downloads
Downloads per month over past year