Expansive subdynamics for algebraic Zd-actions

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Einsiedler, Manfred, Lind, Douglas, Miles, Richard and Ward, Tom (2001) Expansive subdynamics for algebraic Zd-actions. Ergodic Theory and Dynamical Systems, 21 (06). ISSN 0143-3857

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Abstract

A general framework for investigating topological actions of Zd on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower dimensional subspaces of Rd. Here we completely describe this expansive behavior for the class of Zd-actions given by commuting automorphisms of compact abelian groups. The description uses the logarithmic image of an algebraic variety together with a directional version of Noetherian modules over the ring of Laurent polynomials in several commuting variables.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics
Related URLs:	https://www.cambridge.org/core/journals/... http://www.zentralblatt-math.org/zmath/e...
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:48
Last Modified:	15 Dec 2022 01:48
URI:	https://ueaeprints.uea.ac.uk/id/eprint/19686
DOI:	10.1017/S014338570100181X

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