Mixing actions of the rationals

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dc.creatorMiles, Richard
dc.creatorWard, Tom
dc.date2005-01-10
dc.date.accessioned2026-07-07T06:34:14Z
dc.date.available2026-07-07T06:34:14Z
dc.descriptionWe 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 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.
dc.identifierhttps://arxiv.org/abs/math/0501142
dc.identifierhttp://arxiv.org/abs/math/0501142
dc.identifierErgodic Theory and Dynamical Systems, 26, No. 6, 1905-1911 (2006)
dc.identifierdoi:10.1017/S0143385706000356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99462
dc.subjectDynamical Systems
dc.subjectCommutative Algebra
dc.subject22D40; 37A15
dc.titleMixing actions of the rationals
dc.typetext

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