R. Miles
Mixing actions of the rationals
Miles, R.; Ward, T.
Authors
T. Ward
Abstract
We study mixing properties of algebraic actions of Q^d, showing in particular that prime mixing Q^d-actions on connected groups are mixing of all orders, as is the case for 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 Q* are shown to behave quite differently, with finite order of mixing possible on connected groups.
Citation
Miles, R., & Ward, T. (2006). Mixing actions of the rationals. Ergodic Theory and Dynamical Systems, 26(6), 1905-1911. https://doi.org/10.1017/s0143385706000356
Journal Article Type | Article |
---|---|
Publication Date | Dec 1, 2006 |
Deposit Date | Oct 12, 2012 |
Publicly Available Date | Oct 24, 2012 |
Journal | Ergodic Theory and Dynamical Systems |
Print ISSN | 0143-3857 |
Electronic ISSN | 1469-4417 |
Publisher | Cambridge University Press |
Peer Reviewed | Peer Reviewed |
Volume | 26 |
Issue | 6 |
Pages | 1905-1911 |
DOI | https://doi.org/10.1017/s0143385706000356 |
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Accepted Journal Article
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Copyright Statement
© Copyright Cambridge University Press 2006.
This paper has been published in a revised form subsequent to editorial input by Cambridge University Press in "Ergodic theory and dynamical systems" (26: 6 (2006) 1905-1911) http://journals.cambridge.org/action/displayJournal?jid=ETS
Published Journal Article
(91 Kb)
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