Mixing actions of the rationals

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Miles, Richard and Ward, Tom (2006) Mixing actions of the rationals. Ergodic Theory and Dynamical Systems, 26 (06). 1905–1911. ISSN 0143-3857

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Abstract

We study mixing properties of algebraic actions of Qd, showing in particular that prime mixing Qd-actions on connected groups are mixing of all orders, as is the case for Zd-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.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	http://www.zentralblatt-math.org/zmath/e... http://www.ams.org/mathscinet-getitem?mr...
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	11 Jan 2023 17:33
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19745
DOI:	10.1017/S0143385706000356

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