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Expansive subdynamics for algebraic Z^d-actions

Einsiedler, M.; Lind, D.; Miles, R.; Ward, T.

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Authors

M. Einsiedler

D. Lind

R. Miles

T. Ward



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.

Citation

Einsiedler, M., Lind, D., Miles, R., & Ward, T. (2001). Expansive subdynamics for algebraic Z^d-actions. Ergodic Theory and Dynamical Systems, 21(6), 1695-1729. https://doi.org/10.1017/s014338570100181x

Journal Article Type Article
Publication Date Dec 1, 2001
Deposit Date Oct 12, 2012
Publicly Available Date Mar 29, 2024
Journal Ergodic Theory and Dynamical Systems
Print ISSN 0143-3857
Electronic ISSN 1469-4417
Publisher Cambridge University Press
Peer Reviewed Peer Reviewed
Volume 21
Issue 6
Pages 1695-1729
DOI https://doi.org/10.1017/s014338570100181x

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