M. Einsiedler
Expansive subdynamics for algebraic Z^d-actions
Einsiedler, M.; Lind, D.; Miles, R.; Ward, T.
Authors
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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Copyright 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
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