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Expansive subdynamics for algebraic Z^d-actions.

Einsiedler, M. and Lind, D. and Miles, R. and Ward, T. (2001) 'Expansive subdynamics for algebraic Z^d-actions.', Ergodic theory and dynamical systems., 21 (6). pp. 1695-1729.

Abstract

A general framework for investigating topological actions of Z^d on compact metric spaces was proposed by Boyle and Lind in terms of expansive behavior along lower dimensional subspaces of R^d. Here we completely describe this expansive behavior for the class of Z^d-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
Full text:PDF - Published Version (630Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1017/S014338570100181X
Publisher statement:© Copyright Cambridge University Press 2001. This paper has been published by Cambridge University Press in "Ergodic theory and dynamical systems" (21: 6 (2001) 1695-1729) http://journals.cambridge.org/action/displayJournal?jid=ETS
Record Created:18 Oct 2012 15:05
Last Modified:08 Nov 2012 11:15

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